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474,720

474,720 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.).

474,720 (four hundred seventy-four thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2⁵ × 3 × 5 × 23 × 43. Its proper divisors sum to 1,121,952, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73E60.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
19 bits
Reversed
27,474
Square (n²)
225,359,078,400
Cube (n³)
106,982,461,698,048,000
Divisor count
96
σ(n) — sum of divisors
1,596,672
φ(n) — Euler's totient
118,272
Sum of prime factors
84

Primality

Prime factorization: 2 5 × 3 × 5 × 23 × 43

Nearest primes: 474,709 (−11) · 474,737 (+17)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 16 · 20 · 23 · 24 · 30 · 32 · 40 · 43 · 46 · 48 · 60 · 69 · 80 · 86 · 92 · 96 · 115 · 120 · 129 · 138 · 160 · 172 · 184 · 215 · 230 · 240 · 258 · 276 · 344 · 345 · 368 · 430 · 460 · 480 · 516 · 552 · 645 · 688 · 690 · 736 · 860 · 920 · 989 · 1032 · 1104 · 1290 · 1376 · 1380 · 1720 · 1840 · 1978 · 2064 · 2208 · 2580 · 2760 · 2967 · 3440 · 3680 · 3956 · 4128 · 4945 · 5160 · 5520 · 5934 · 6880 · 7912 · 9890 · 10320 · 11040 · 11868 · 14835 · 15824 · 19780 · 20640 · 23736 · 29670 · 31648 · 39560 · 47472 · 59340 · 79120 · 94944 · 118680 · 158240 · 237360 (half) · 474720
Aliquot sum (sum of proper divisors): 1,121,952
Factor pairs (a × b = 474,720)
1 × 474720
2 × 237360
3 × 158240
4 × 118680
5 × 94944
6 × 79120
8 × 59340
10 × 47472
12 × 39560
15 × 31648
16 × 29670
20 × 23736
23 × 20640
24 × 19780
30 × 15824
32 × 14835
40 × 11868
43 × 11040
46 × 10320
48 × 9890
60 × 7912
69 × 6880
80 × 5934
86 × 5520
92 × 5160
96 × 4945
115 × 4128
120 × 3956
129 × 3680
138 × 3440
160 × 2967
172 × 2760
184 × 2580
215 × 2208
230 × 2064
240 × 1978
258 × 1840
276 × 1720
344 × 1380
345 × 1376
368 × 1290
430 × 1104
460 × 1032
480 × 989
516 × 920
552 × 860
645 × 736
688 × 690
First multiples
474,720 · 949,440 (double) · 1,424,160 · 1,898,880 · 2,373,600 · 2,848,320 · 3,323,040 · 3,797,760 · 4,272,480 · 4,747,200

Sums & aliquot sequence

As consecutive integers: 158,239 + 158,240 + 158,241 94,942 + 94,943 + 94,944 + 94,945 + 94,946 31,641 + 31,642 + … + 31,655 20,629 + 20,630 + … + 20,651
Aliquot sequence: 474,720 1,121,952 2,264,928 3,680,760 7,673,640 17,123,160 35,914,920 73,882,200 193,957,800 440,823,000 934,554,120 1,869,108,600 4,041,841,200 8,905,527,288 20,249,288,712 — keeps growing

Continued fraction of √n

√474,720 = [688; (1, 1376)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy-four thousand seven hundred twenty
Ordinal
474720th
Binary
1110011111001100000
Octal
1637140
Hexadecimal
0x73E60
Base64
Bz5g
One's complement
4,294,492,575 (32-bit)
Scientific notation
4.7472 × 10⁵
As a duration
474,720 s = 5 days, 11 hours, 52 minutes
In other bases
ternary (3) 220010012020
quaternary (4) 1303321200
quinary (5) 110142340
senary (6) 14101440
septenary (7) 4015011
nonary (9) 803166
undecimal (11) 2a4734
duodecimal (12) 1aa880
tridecimal (13) 1380cc
tetradecimal (14) c5008
pentadecimal (15) 959d0

As an angle

474,720° = 1,318 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian)
͵υοδψκʹ
Chinese
四十七萬四千七百二十
Chinese (financial)
肆拾柒萬肆仟柒佰貳拾
In other modern scripts
Eastern Arabic ٤٧٤٧٢٠ Devanagari ४७४७२० Bengali ৪৭৪৭২০ Tamil ௪௭௪௭௨௦ Thai ๔๗๔๗๒๐ Tibetan ༤༧༤༧༢༠ Khmer ៤៧៤៧២០ Lao ໔໗໔໗໒໐ Burmese ၄၇၄၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 474720, here are decompositions:

  • 11 + 474709 = 474720
  • 13 + 474707 = 474720
  • 53 + 474667 = 474720
  • 61 + 474659 = 474720
  • 73 + 474647 = 474720
  • 101 + 474619 = 474720
  • 137 + 474583 = 474720
  • 139 + 474581 = 474720

Showing the first eight; more decompositions exist.

Hex color
#073E60
RGB(7, 62, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.62.96.

Address
0.7.62.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.62.96

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 474,720 and was likely granted around 1892.

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

Position in π

The digit sequence 474720 first appears in π at position 28,554 of the decimal expansion (the 28,554ordinal-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°.