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469,040

469,040 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.).

469,040 (four hundred sixty-nine thousand forty) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 5 × 11 × 13 × 41. Its proper divisors sum to 843,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72830.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
19 bits
Reversed
40,964
Square (n²)
219,998,521,600
Cube (n³)
103,188,106,571,264,000
Divisor count
80
σ(n) — sum of divisors
1,312,416
φ(n) — Euler's totient
153,600
Sum of prime factors
78

Primality

Prime factorization: 2 4 × 5 × 11 × 13 × 41

Nearest primes: 469,037 (−3) · 469,069 (+29)

Divisors & multiples

All divisors (80)
1 · 2 · 4 · 5 · 8 · 10 · 11 · 13 · 16 · 20 · 22 · 26 · 40 · 41 · 44 · 52 · 55 · 65 · 80 · 82 · 88 · 104 · 110 · 130 · 143 · 164 · 176 · 205 · 208 · 220 · 260 · 286 · 328 · 410 · 440 · 451 · 520 · 533 · 572 · 656 · 715 · 820 · 880 · 902 · 1040 · 1066 · 1144 · 1430 · 1640 · 1804 · 2132 · 2255 · 2288 · 2665 · 2860 · 3280 · 3608 · 4264 · 4510 · 5330 · 5720 · 5863 · 7216 · 8528 · 9020 · 10660 · 11440 · 11726 · 18040 · 21320 · 23452 · 29315 · 36080 · 42640 · 46904 · 58630 · 93808 · 117260 · 234520 (half) · 469040
Aliquot sum (sum of proper divisors): 843,376
Factor pairs (a × b = 469,040)
1 × 469040
2 × 234520
4 × 117260
5 × 93808
8 × 58630
10 × 46904
11 × 42640
13 × 36080
16 × 29315
20 × 23452
22 × 21320
26 × 18040
40 × 11726
41 × 11440
44 × 10660
52 × 9020
55 × 8528
65 × 7216
80 × 5863
82 × 5720
88 × 5330
104 × 4510
110 × 4264
130 × 3608
143 × 3280
164 × 2860
176 × 2665
205 × 2288
208 × 2255
220 × 2132
260 × 1804
286 × 1640
328 × 1430
410 × 1144
440 × 1066
451 × 1040
520 × 902
533 × 880
572 × 820
656 × 715
First multiples
469,040 · 938,080 (double) · 1,407,120 · 1,876,160 · 2,345,200 · 2,814,240 · 3,283,280 · 3,752,320 · 4,221,360 · 4,690,400

Sums & aliquot sequence

As consecutive integers: 93,806 + 93,807 + 93,808 + 93,809 + 93,810 42,635 + 42,636 + … + 42,645 36,074 + 36,075 + … + 36,086 14,642 + 14,643 + … + 14,673
Aliquot sequence: 469,040 → 843,376 → 790,696 → 691,874 → 345,940 → 501,536 → 627,424 → 784,784 → 1,298,416 → 1,576,896 → 2,714,688 → 5,271,072 → 8,565,744 → 15,575,568 → 24,661,440 → 60,173,544 → 94,328,376 — unresolved within range

Continued fraction of √n

√469,040 = [684; (1, 6, 2, 2, 8, 6, 2, 3, 3, 85, 3, 3, 2, 6, 8, 2, 2, 6, 1, 1368)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-nine thousand forty
Ordinal
469040th
Binary
1110010100000110000
Octal
1624060
Hexadecimal
0x72830
Base64
Bygw
One's complement
4,294,498,255 (32-bit)
Scientific notation
4.6904 × 10⁵
As a duration
469,040 s = 5 days, 10 hours, 17 minutes, 20 seconds
In other bases
ternary (3) 212211101212
quaternary (4) 1302200300
quinary (5) 110002130
senary (6) 14015252
septenary (7) 3662315
nonary (9) 784355
undecimal (11) 2a0440
duodecimal (12) 1a7528
tridecimal (13) 135650
tetradecimal (14) c2d0c
pentadecimal (15) 93e95

As an angle

469,040° = 1,302 × 360° + 320°
320° ≈ 5.585 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξθμʹ
Chinese
四十六萬九千零四十
Chinese (financial)
肆拾陸萬玖仟零肆拾
In other modern scripts
Eastern Arabic ٤٦٩٠٤٠ Devanagari ४६९०४० Bengali ৪৬৯০৪০ Tamil ௪௬௯௦௪௦ Thai ๔๖๙๐๔๐ Tibetan ༤༦༩༠༤༠ Khmer ៤៦៩០៤០ Lao ໔໖໙໐໔໐ Burmese ၄၆၉၀၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 469040, here are decompositions:

  • 3 + 469037 = 469040
  • 31 + 469009 = 469040
  • 67 + 468973 = 469040
  • 73 + 468967 = 469040
  • 127 + 468913 = 469040
  • 151 + 468889 = 469040
  • 157 + 468883 = 469040
  • 181 + 468859 = 469040

Showing the first eight; more decompositions exist.

Hex color
#072830
RGB(7, 40, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.40.48.

Address
0.7.40.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.40.48

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

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 469,040 and was likely granted around 1891.

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

Position in π

The digit sequence 469040 first appears in π at position 449,840 of the decimal expansion (the 449,840ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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