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1,057,920

1,057,920 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.).

1,057,920 (one million fifty-seven thousand nine hundred twenty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2⁷ × 3 × 5 × 19 × 29. Its proper divisors sum to 2,614,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x102480.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
297,501
Square (n²)
1,119,194,726,400
Cube (n³)
1,184,018,484,953,088,000
Divisor count
128
σ(n) — sum of divisors
3,672,000
φ(n) — Euler's totient
258,048
Sum of prime factors
70

Primality

Prime factorization: 2 7 × 3 × 5 × 19 × 29

Nearest primes: 1,057,919 (−1) · 1,057,951 (+31)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 19 · 20 · 24 · 29 · 30 · 32 · 38 · 40 · 48 · 57 · 58 · 60 · 64 · 76 · 80 · 87 · 95 · 96 · 114 · 116 · 120 · 128 · 145 · 152 · 160 · 174 · 190 · 192 · 228 · 232 · 240 · 285 · 290 · 304 · 320 · 348 · 380 · 384 · 435 · 456 · 464 · 480 · 551 · 570 · 580 · 608 · 640 · 696 · 760 · 870 · 912 · 928 · 960 · 1102 · 1140 · 1160 · 1216 · 1392 · 1520 · 1653 · 1740 · 1824 · 1856 · 1920 · 2204 · 2280 · 2320 · 2432 · 2755 · 2784 · 3040 · 3306 · 3480 · 3648 · 3712 · 4408 · 4560 · 4640 · 5510 · 5568 · 6080 · 6612 · 6960 · 7296 · 8265 · 8816 · 9120 · 9280 · 11020 · 11136 · 12160 · 13224 · 13920 · 16530 · 17632 · 18240 · 18560 · 22040 · 26448 · 27840 · 33060 · 35264 · 36480 · 44080 · 52896 · 55680 · 66120 · 70528 · 88160 · 105792 · 132240 · 176320 · 211584 · 264480 · 352640 · 528960 (half) · 1057920
Aliquot sum (sum of proper divisors): 2,614,080
Factor pairs (a × b = 1,057,920)
1 × 1057920
2 × 528960
3 × 352640
4 × 264480
5 × 211584
6 × 176320
8 × 132240
10 × 105792
12 × 88160
15 × 70528
16 × 66120
19 × 55680
20 × 52896
24 × 44080
29 × 36480
30 × 35264
32 × 33060
38 × 27840
40 × 26448
48 × 22040
57 × 18560
58 × 18240
60 × 17632
64 × 16530
76 × 13920
80 × 13224
87 × 12160
95 × 11136
96 × 11020
114 × 9280
116 × 9120
120 × 8816
128 × 8265
145 × 7296
152 × 6960
160 × 6612
174 × 6080
190 × 5568
192 × 5510
228 × 4640
232 × 4560
240 × 4408
285 × 3712
290 × 3648
304 × 3480
320 × 3306
348 × 3040
380 × 2784
384 × 2755
435 × 2432
456 × 2320
464 × 2280
480 × 2204
551 × 1920
570 × 1856
580 × 1824
608 × 1740
640 × 1653
696 × 1520
760 × 1392
870 × 1216
912 × 1160
928 × 1140
960 × 1102
First multiples
1,057,920 · 2,115,840 (double) · 3,173,760 · 4,231,680 · 5,289,600 · 6,347,520 · 7,405,440 · 8,463,360 · 9,521,280 · 10,579,200

Sums & aliquot sequence

As consecutive integers: 352,639 + 352,640 + 352,641 211,582 + 211,583 + 211,584 + 211,585 + 211,586 70,521 + 70,522 + … + 70,535 55,671 + 55,672 + … + 55,689
Aliquot sequence: 1,057,920 → 2,614,080 → 6,895,680 → 17,025,024 → 31,328,736 → 51,254,688 → 83,779,008 → 142,096,080 → 384,102,384 → 614,501,856 → 1,390,773,024 → 2,665,650,816 → 5,559,629,184 → 11,599,076,016 — keeps growing

Continued fraction of √n

√1,057,920 = [1028; (1, 1, 4, 3, 1, 1, 1, 513, 1, 1, 1, 3, 4, 1, 1, 2056)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million fifty-seven thousand nine hundred twenty
Ordinal
1057920th
Binary
100000010010010000000
Octal
4022200
Hexadecimal
0x102480
Base64
ECSA
One's complement
4,293,909,375 (32-bit)
Scientific notation
1.05792 × 10⁶
As a duration
1,057,920 s = 12 days, 5 hours, 52 minutes
In other bases
ternary (3) 1222202012020
quaternary (4) 10002102000
quinary (5) 232323140
senary (6) 34401440
septenary (7) 11664213
nonary (9) 1882166
undecimal (11) 662916
duodecimal (12) 430280
tridecimal (13) 2b06b6
tetradecimal (14) 1d777a
pentadecimal (15) 15d6d0

As an angle

1,057,920° = 2,938 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese
一百零五萬七千九百二十
Chinese (financial)
壹佰零伍萬柒仟玖佰貳拾
In other modern scripts
Eastern Arabic ١٠٥٧٩٢٠ Devanagari १०५७९२० Bengali ১০৫৭৯২০ Tamil ௧௦௫௭௯௨௦ Thai ๑๐๕๗๙๒๐ Tibetan ༡༠༥༧༩༢༠ Khmer ១០៥៧៩២០ Lao ໑໐໕໗໙໒໐ Burmese ၁၀၅၇၉၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1057920, here are decompositions:

  • 13 + 1057907 = 1057920
  • 23 + 1057897 = 1057920
  • 37 + 1057883 = 1057920
  • 41 + 1057879 = 1057920
  • 67 + 1057853 = 1057920
  • 89 + 1057831 = 1057920
  • 113 + 1057807 = 1057920
  • 139 + 1057781 = 1057920

Showing the first eight; more decompositions exist.

Hex color
#102480
RGB(16, 36, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.36.128.

Address
0.16.36.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.36.128

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 7920 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7920-05-01 (DMMYYYY (Euro, single-digit day))
  • 7920-10-05 (MMDYYYY (US, single-digit day))
  • 7920-05-10 (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 1,057,920 and was likely granted around 1912.

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°.