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1,012,320

1,012,320 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,012,320 (one million twelve thousand three hundred twenty) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2⁵ × 3² × 5 × 19 × 37. Its proper divisors sum to 2,722,320, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7260.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
232,101
Square (n²)
1,024,791,782,400
Cube (n³)
1,037,417,217,159,168,000
Divisor count
144
σ(n) — sum of divisors
3,734,640
φ(n) — Euler's totient
248,832
Sum of prime factors
77

Primality

Prime factorization: 2 5 × 3 2 × 5 × 19 × 37

Nearest primes: 1,012,307 (−13) · 1,012,321 (+1)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 15 · 16 · 18 · 19 · 20 · 24 · 30 · 32 · 36 · 37 · 38 · 40 · 45 · 48 · 57 · 60 · 72 · 74 · 76 · 80 · 90 · 95 · 96 · 111 · 114 · 120 · 144 · 148 · 152 · 160 · 171 · 180 · 185 · 190 · 222 · 228 · 240 · 285 · 288 · 296 · 304 · 333 · 342 · 360 · 370 · 380 · 444 · 456 · 480 · 555 · 570 · 592 · 608 · 666 · 684 · 703 · 720 · 740 · 760 · 855 · 888 · 912 · 1110 · 1140 · 1184 · 1332 · 1368 · 1406 · 1440 · 1480 · 1520 · 1665 · 1710 · 1776 · 1824 · 2109 · 2220 · 2280 · 2664 · 2736 · 2812 · 2960 · 3040 · 3330 · 3420 · 3515 · 3552 · 4218 · 4440 · 4560 · 5328 · 5472 · 5624 · 5920 · 6327 · 6660 · 6840 · 7030 · 8436 · 8880 · 9120 · 10545 · 10656 · 11248 · 12654 · 13320 · 13680 · 14060 · 16872 · 17760 · 21090 · 22496 · 25308 · 26640 · 27360 · 28120 · 31635 · 33744 · 42180 · 50616 · 53280 · 56240 · 63270 · 67488 · 84360 · 101232 · 112480 · 126540 · 168720 · 202464 · 253080 · 337440 · 506160 (half) · 1012320
Aliquot sum (sum of proper divisors): 2,722,320
Factor pairs (a × b = 1,012,320)
1 × 1012320
2 × 506160
3 × 337440
4 × 253080
5 × 202464
6 × 168720
8 × 126540
9 × 112480
10 × 101232
12 × 84360
15 × 67488
16 × 63270
18 × 56240
19 × 53280
20 × 50616
24 × 42180
30 × 33744
32 × 31635
36 × 28120
37 × 27360
38 × 26640
40 × 25308
45 × 22496
48 × 21090
57 × 17760
60 × 16872
72 × 14060
74 × 13680
76 × 13320
80 × 12654
90 × 11248
95 × 10656
96 × 10545
111 × 9120
114 × 8880
120 × 8436
144 × 7030
148 × 6840
152 × 6660
160 × 6327
171 × 5920
180 × 5624
185 × 5472
190 × 5328
222 × 4560
228 × 4440
240 × 4218
285 × 3552
288 × 3515
296 × 3420
304 × 3330
333 × 3040
342 × 2960
360 × 2812
370 × 2736
380 × 2664
444 × 2280
456 × 2220
480 × 2109
555 × 1824
570 × 1776
592 × 1710
608 × 1665
666 × 1520
684 × 1480
703 × 1440
720 × 1406
740 × 1368
760 × 1332
855 × 1184
888 × 1140
912 × 1110
First multiples
1,012,320 · 2,024,640 (double) · 3,036,960 · 4,049,280 · 5,061,600 · 6,073,920 · 7,086,240 · 8,098,560 · 9,110,880 · 10,123,200

Sums & aliquot sequence

As consecutive integers: 337,439 + 337,440 + 337,441 202,462 + 202,463 + 202,464 + 202,465 + 202,466 112,476 + 112,477 + … + 112,484 67,481 + 67,482 + … + 67,495
Aliquot sequence: 1,012,320 2,722,320 6,949,680 15,548,880 37,376,304 73,783,248 163,868,208 319,934,160 1,077,476,400 4,189,972,176 8,438,144,052 12,772,897,548 — keeps growing

Continued fraction of √n

√1,012,320 = [1006; (7, 11, 1, 3, 4, 5, 1, 40, 4, 2, 1, 1, 20, 1, 1, 2, 4, 40, 1, 5, 4, 3, 1, 11, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand three hundred twenty
Ordinal
1012320th
Binary
11110111001001100000
Octal
3671140
Hexadecimal
0xF7260
Base64
D3Jg
One's complement
4,293,954,975 (32-bit)
Scientific notation
1.01232 × 10⁶
As a duration
1,012,320 s = 11 days, 17 hours, 12 minutes
In other bases
ternary (3) 1220102122100
quaternary (4) 3313021200
quinary (5) 224343240
senary (6) 33410400
septenary (7) 11414241
nonary (9) 1812570
undecimal (11) 631631
duodecimal (12) 409a00
tridecimal (13) 295a0a
tetradecimal (14) 1c4cc8
pentadecimal (15) 14ee30

As an angle

1,012,320° = 2,812 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆
Chinese
一百零一萬二千三百二十
Chinese (financial)
壹佰零壹萬貳仟參佰貳拾
In other modern scripts
Eastern Arabic ١٠١٢٣٢٠ Devanagari १०१२३२० Bengali ১০১২৩২০ Tamil ௧௦௧௨௩௨௦ Thai ๑๐๑๒๓๒๐ Tibetan ༡༠༡༢༣༢༠ Khmer ១០១២៣២០ Lao ໑໐໑໒໓໒໐ Burmese ၁၀၁၂၃၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012320, here are decompositions:

  • 13 + 1012307 = 1012320
  • 31 + 1012289 = 1012320
  • 41 + 1012279 = 1012320
  • 53 + 1012267 = 1012320
  • 59 + 1012261 = 1012320
  • 61 + 1012259 = 1012320
  • 79 + 1012241 = 1012320
  • 103 + 1012217 = 1012320

Showing the first eight; more decompositions exist.

Hex color
#0F7260
RGB(15, 114, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.96.

Address
0.15.114.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.96

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 2320 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2320-10-01 (MMDYYYY (US, single-digit day))
  • 2320-01-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,012,320 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.