Live analysis

472,120

472,120 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.).

472,120 (four hundred seventy-two thousand one hundred twenty) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 5 × 11 × 29 × 37. Its proper divisors sum to 759,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73438.

Abundant Number Gapful Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

472,108 472,109 472,110 472,111 472,112 472,113 472,114 472,115 472,116 472,117 472,118 472,119 472,120 472,121 472,122 472,123 472,124 472,125 472,126 472,127 472,128 472,129 472,130 472,131 472,132

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 19 bits
Reversed: 21,274
Square (n²): 222,897,294,400
Cube (n³): 105,234,270,632,128,000
Divisor count: 64
σ(n) — sum of divisors: 1,231,200
φ(n) — Euler's totient: 161,280
Sum of prime factors: 88

Primality

Prime factorization: 2 ³ × 5 × 11 × 29 × 37

Nearest primes: 472,111 (−9) · 472,123 (+3)

Divisors & multiples

All divisors (64)

1 · 2 · 4 · 5 · 8 · 10 · 11 · 20 · 22 · 29 · 37 · 40 · 44 · 55 · 58 · 74 · 88 · 110 · 116 · 145 · 148 · 185 · 220 · 232 · 290 · 296 · 319 · 370 · 407 · 440 · 580 · 638 · 740 · 814 · 1073 · 1160 · 1276 · 1480 · 1595 · 1628 · 2035 · 2146 · 2552 · 3190 · 3256 · 4070 · 4292 · 5365 · 6380 · 8140 · 8584 · 10730 · 11803 · 12760 · 16280 · 21460 · 23606 · 42920 · 47212 · 59015 · 94424 · 118030 · 236060 (half) · 472120

Aliquot sum (sum of proper divisors): 759,080

Factor pairs (a × b = 472,120)

1 × 472120

2 × 236060

4 × 118030

5 × 94424

8 × 59015

10 × 47212

11 × 42920

20 × 23606

22 × 21460

29 × 16280

37 × 12760

40 × 11803

44 × 10730

55 × 8584

58 × 8140

74 × 6380

88 × 5365

110 × 4292

116 × 4070

145 × 3256

148 × 3190

185 × 2552

220 × 2146

232 × 2035

290 × 1628

296 × 1595

319 × 1480

370 × 1276

407 × 1160

440 × 1073

580 × 814

638 × 740

First multiples

472,120 · 944,240 (double) · 1,416,360 · 1,888,480 · 2,360,600 · 2,832,720 · 3,304,840 · 3,776,960 · 4,249,080 · 4,721,200

Sums & aliquot sequence

As consecutive integers: 94,422 + 94,423 + 94,424 + 94,425 + 94,426 42,915 + 42,916 + … + 42,925 29,500 + 29,501 + … + 29,515 16,266 + 16,267 + … + 16,294

Aliquot sequence: 472,120 → 759,080 → 1,193,560 → 1,547,480 → 2,251,960 → 2,815,040 → 4,256,320 → 6,131,264 → 6,035,590 → 5,816,330 → 5,458,654 → 2,729,330 → 2,183,482 → 1,722,950 → 1,671,922 → 1,210,958 → 897,586 — unresolved within range

Continued fraction of √n

√472,120 = [687; (9, 9, 1, 151, 1, 3, 1, 3, 5, 7, 1, 16, 11, 2, 1, 1, 4, 1, 3, 1, 4, 1, 1, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy-two thousand one hundred twenty
Ordinal: 472120th
Binary: 1110011010000111000
Octal: 1632070
Hexadecimal: 0x73438
Base64: BzQ4
One's complement: 4,294,495,175 (32-bit)
Scientific notation: 4.7212 × 10⁵
As a duration: 472,120 s = 5 days, 11 hours, 8 minutes, 40 seconds

In other bases

ternary (3) 212222121221

quaternary (4) 1303100320

quinary (5) 110101440

senary (6) 14041424

septenary (7) 4004305

nonary (9) 788557

undecimal (11) 2a2790

duodecimal (12) 1a9274

tridecimal (13) 136b7c

tetradecimal (14) c40ac

pentadecimal (15) 94d4a

As an angle

472,120° = 1,311 × 360° + 160°

160° ≈ 2.793 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓎆𓎆
Greek (Milesian): ͵υοβρκʹ
Chinese: 四十七萬二千一百二十
Chinese (financial): 肆拾柒萬貳仟壹佰貳拾

In other modern scripts

Eastern Arabic ٤٧٢١٢٠ Devanagari ४७२१२० Bengali ৪৭২১২০ Tamil ௪௭௨௧௨௦ Thai ๔๗๒๑๒๐ Tibetan ༤༧༢༡༢༠ Khmer ៤៧២១២០ Lao ໔໗໒໑໒໐ Burmese ၄၇၂၁၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472120, here are decompositions:

17 + 472103 = 472120
53 + 472067 = 472120
101 + 472019 = 472120
191 + 471929 = 472120
197 + 471923 = 472120
227 + 471893 = 472120
317 + 471803 = 472120
401 + 471719 = 472120

Showing the first eight; more decompositions exist.

Hex color

#073438

RGB(7, 52, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.52.56.

Address: 0.7.52.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.52.56

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 472,120 and was likely granted around 1891.

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

Look up US472,120 on Google Patents ↗ Look up on USPTO ↗