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1,042,440

1,042,440 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.).

1,042,440 (one million forty-two thousand four hundred forty) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5 × 7 × 17 × 73. Its proper divisors sum to 2,793,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFE808.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
442,401
Square (n²)
1,086,681,153,600
Cube (n³)
1,132,799,901,758,784,000
Divisor count
128
σ(n) — sum of divisors
3,836,160
φ(n) — Euler's totient
221,184
Sum of prime factors
111

Primality

Prime factorization: 2 3 × 3 × 5 × 7 × 17 × 73

Nearest primes: 1,042,439 (−1) · 1,042,451 (+11)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 17 · 20 · 21 · 24 · 28 · 30 · 34 · 35 · 40 · 42 · 51 · 56 · 60 · 68 · 70 · 73 · 84 · 85 · 102 · 105 · 119 · 120 · 136 · 140 · 146 · 168 · 170 · 204 · 210 · 219 · 238 · 255 · 280 · 292 · 340 · 357 · 365 · 408 · 420 · 438 · 476 · 510 · 511 · 584 · 595 · 680 · 714 · 730 · 840 · 876 · 952 · 1020 · 1022 · 1095 · 1190 · 1241 · 1428 · 1460 · 1533 · 1752 · 1785 · 2040 · 2044 · 2190 · 2380 · 2482 · 2555 · 2856 · 2920 · 3066 · 3570 · 3723 · 4088 · 4380 · 4760 · 4964 · 5110 · 6132 · 6205 · 7140 · 7446 · 7665 · 8687 · 8760 · 9928 · 10220 · 12264 · 12410 · 14280 · 14892 · 15330 · 17374 · 18615 · 20440 · 24820 · 26061 · 29784 · 30660 · 34748 · 37230 · 43435 · 49640 · 52122 · 61320 · 69496 · 74460 · 86870 · 104244 · 130305 · 148920 · 173740 · 208488 · 260610 · 347480 · 521220 (half) · 1042440
Aliquot sum (sum of proper divisors): 2,793,720
Factor pairs (a × b = 1,042,440)
1 × 1042440
2 × 521220
3 × 347480
4 × 260610
5 × 208488
6 × 173740
7 × 148920
8 × 130305
10 × 104244
12 × 86870
14 × 74460
15 × 69496
17 × 61320
20 × 52122
21 × 49640
24 × 43435
28 × 37230
30 × 34748
34 × 30660
35 × 29784
40 × 26061
42 × 24820
51 × 20440
56 × 18615
60 × 17374
68 × 15330
70 × 14892
73 × 14280
84 × 12410
85 × 12264
102 × 10220
105 × 9928
119 × 8760
120 × 8687
136 × 7665
140 × 7446
146 × 7140
168 × 6205
170 × 6132
204 × 5110
210 × 4964
219 × 4760
238 × 4380
255 × 4088
280 × 3723
292 × 3570
340 × 3066
357 × 2920
365 × 2856
408 × 2555
420 × 2482
438 × 2380
476 × 2190
510 × 2044
511 × 2040
584 × 1785
595 × 1752
680 × 1533
714 × 1460
730 × 1428
840 × 1241
876 × 1190
952 × 1095
1020 × 1022
First multiples
1,042,440 · 2,084,880 (double) · 3,127,320 · 4,169,760 · 5,212,200 · 6,254,640 · 7,297,080 · 8,339,520 · 9,381,960 · 10,424,400

Sums & aliquot sequence

As consecutive integers: 347,479 + 347,480 + 347,481 208,486 + 208,487 + 208,488 + 208,489 + 208,490 148,917 + 148,918 + … + 148,923 69,489 + 69,490 + … + 69,503
Aliquot sequence: 1,042,440 2,793,720 5,869,320 12,058,680 24,231,840 56,146,080 124,132,704 206,197,968 326,480,240 477,240,640 659,189,396 494,392,054 307,592,906 165,049,978 93,651,782 66,894,154 35,780,726 — unresolved within range

Continued fraction of √n

√1,042,440 = [1020; (1, 2040)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
one million forty-two thousand four hundred forty
Ordinal
1042440th
Binary
11111110100000001000
Octal
3764010
Hexadecimal
0xFE808
Base64
D+gI
One's complement
4,293,924,855 (32-bit)
Scientific notation
1.04244 × 10⁶
As a duration
1,042,440 s = 12 days, 1 hour, 34 minutes
In other bases
ternary (3) 1221221221220
quaternary (4) 3332200020
quinary (5) 231324230
senary (6) 34202040
septenary (7) 11601120
nonary (9) 1857856
undecimal (11) 652223
duodecimal (12) 423320
tridecimal (13) 2a6639
tetradecimal (14) 1d1c80
pentadecimal (15) 158d10

As an angle

1,042,440° = 2,895 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Chinese
一百零四萬二千四百四十
Chinese (financial)
壹佰零肆萬貳仟肆佰肆拾
In other modern scripts
Eastern Arabic ١٠٤٢٤٤٠ Devanagari १०४२४४० Bengali ১০৪২৪৪০ Tamil ௧௦௪௨௪௪௦ Thai ๑๐๔๒๔๔๐ Tibetan ༡༠༤༢༤༤༠ Khmer ១០៤២៤៤០ Lao ໑໐໔໒໔໔໐ Burmese ၁၀၄၂၄၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1042440, here are decompositions:

  • 13 + 1042427 = 1042440
  • 41 + 1042399 = 1042440
  • 59 + 1042381 = 1042440
  • 67 + 1042373 = 1042440
  • 71 + 1042369 = 1042440
  • 83 + 1042357 = 1042440
  • 107 + 1042333 = 1042440
  • 109 + 1042331 = 1042440

Showing the first eight; more decompositions exist.

Hex color
#0FE808
RGB(15, 232, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.232.8.

Address
0.15.232.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.232.8

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 4, 2440 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 2440-04-01 (DMMYYYY (Euro, single-digit day))
  • 2440-10-04 (MMDYYYY (US, single-digit day))
  • 2440-04-10 (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 1,042,440 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°.