Live analysis

470,720

470,720 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.).

470,720 (four hundred seventy thousand seven hundred twenty) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 5 × 1,471. Its proper divisors sum to 650,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72EC0.

Abundant Number Gapful Number Harshad / Niven Odious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

470,708 470,709 470,710 470,711 470,712 470,713 470,714 470,715 470,716 470,717 470,718 470,719 470,720 470,721 470,722 470,723 470,724 470,725 470,726 470,727 470,728 470,729 470,730 470,731 470,732

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 19 bits
Reversed: 27,074
Recamán's sequence: a(135,536) = 470,720
Square (n²): 221,577,318,400
Cube (n³): 104,300,875,317,248,000
Divisor count: 28
σ(n) — sum of divisors: 1,121,664
φ(n) — Euler's totient: 188,160
Sum of prime factors: 1,488

Primality

Prime factorization: 2 ⁶ × 5 × 1471

Nearest primes: 470,719 (−1) · 470,731 (+11)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 160 · 320 · 1471 · 2942 · 5884 · 7355 · 11768 · 14710 · 23536 · 29420 · 47072 · 58840 · 94144 · 117680 · 235360 (half) · 470720

Aliquot sum (sum of proper divisors): 650,944

Factor pairs (a × b = 470,720)

1 × 470720

2 × 235360

4 × 117680

5 × 94144

8 × 58840

10 × 47072

16 × 29420

20 × 23536

32 × 14710

40 × 11768

64 × 7355

80 × 5884

160 × 2942

320 × 1471

First multiples

470,720 · 941,440 (double) · 1,412,160 · 1,882,880 · 2,353,600 · 2,824,320 · 3,295,040 · 3,765,760 · 4,236,480 · 4,707,200

Sums & aliquot sequence

As consecutive integers: 94,142 + 94,143 + 94,144 + 94,145 + 94,146 3,614 + 3,615 + … + 3,741 416 + 417 + … + 1,055

Aliquot sequence: 470,720 → 650,944 → 826,320 → 1,977,072 → 3,130,488 → 5,639,592 → 10,474,008 → 15,711,072 → 28,706,448 → 45,452,000 → 76,493,824 → 90,344,864 → 87,521,650 → 79,671,890 → 63,943,918 → 34,564,394 → 18,546,874 — unresolved within range

Continued fraction of √n

√470,720 = [686; (11, 15, 3, 16, 1, 4, 1, 3, 44, 343, 44, 3, 1, 4, 1, 16, 3, 15, 11, 1372)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: four hundred seventy thousand seven hundred twenty
Ordinal: 470720th
Binary: 1110010111011000000
Octal: 1627300
Hexadecimal: 0x72EC0
Base64: By7A
One's complement: 4,294,496,575 (32-bit)
Scientific notation: 4.7072 × 10⁵
As a duration: 470,720 s = 5 days, 10 hours, 45 minutes, 20 seconds

In other bases

ternary (3) 212220201002

quaternary (4) 1302323000

quinary (5) 110030340

senary (6) 14031132

septenary (7) 4000235

nonary (9) 786632

undecimal (11) 2a1728

duodecimal (12) 1a84a8

tridecimal (13) 136343

tetradecimal (14) c378c

pentadecimal (15) 94715

As an angle

470,720° = 1,307 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Greek (Milesian): ͵υοψκʹ
Chinese: 四十七萬零七百二十
Chinese (financial): 肆拾柒萬零柒佰貳拾

In other modern scripts

Eastern Arabic ٤٧٠٧٢٠ Devanagari ४७०७२० Bengali ৪৭০৭২০ Tamil ௪௭௦௭௨௦ Thai ๔๗๐๗๒๐ Tibetan ༤༧༠༧༢༠ Khmer ៤៧០៧២០ Lao ໔໗໐໗໒໐ Burmese ၄၇၀၇၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470720, here are decompositions:

31 + 470689 = 470720
67 + 470653 = 470720
73 + 470647 = 470720
127 + 470593 = 470720
181 + 470539 = 470720
199 + 470521 = 470720
277 + 470443 = 470720
307 + 470413 = 470720

Showing the first eight; more decompositions exist.

Hex color

#072EC0

RGB(7, 46, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.46.192.

Address: 0.7.46.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.46.192

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 470,720 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 US470,720 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 470720 first appears in π at position 59,476 of the decimal expansion (the 59,476ordinal-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.

Look up 470720 on Pi Search ↗