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470,960

470,960 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.).

470,960 (four hundred seventy thousand nine hundred sixty) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5 × 7 × 29². Its proper divisors sum to 825,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x72FB0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
19 bits
Reversed
69,074
Recamán's sequence
a(135,920) = 470,960
Square (n²)
221,803,321,600
Cube (n³)
104,460,492,340,736,000
Divisor count
60
σ(n) — sum of divisors
1,296,048
φ(n) — Euler's totient
155,904
Sum of prime factors
78

Primality

Prime factorization: 2 4 × 5 × 7 × 29 2

Nearest primes: 470,959 (−1) · 470,993 (+33)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 29 · 35 · 40 · 56 · 58 · 70 · 80 · 112 · 116 · 140 · 145 · 203 · 232 · 280 · 290 · 406 · 464 · 560 · 580 · 812 · 841 · 1015 · 1160 · 1624 · 1682 · 2030 · 2320 · 3248 · 3364 · 4060 · 4205 · 5887 · 6728 · 8120 · 8410 · 11774 · 13456 · 16240 · 16820 · 23548 · 29435 · 33640 · 47096 · 58870 · 67280 · 94192 · 117740 · 235480 (half) · 470960
Aliquot sum (sum of proper divisors): 825,088
Factor pairs (a × b = 470,960)
1 × 470960
2 × 235480
4 × 117740
5 × 94192
7 × 67280
8 × 58870
10 × 47096
14 × 33640
16 × 29435
20 × 23548
28 × 16820
29 × 16240
35 × 13456
40 × 11774
56 × 8410
58 × 8120
70 × 6728
80 × 5887
112 × 4205
116 × 4060
140 × 3364
145 × 3248
203 × 2320
232 × 2030
280 × 1682
290 × 1624
406 × 1160
464 × 1015
560 × 841
580 × 812
First multiples
470,960 · 941,920 (double) · 1,412,880 · 1,883,840 · 2,354,800 · 2,825,760 · 3,296,720 · 3,767,680 · 4,238,640 · 4,709,600

Sums & aliquot sequence

As consecutive integers: 94,190 + 94,191 + 94,192 + 94,193 + 94,194 67,277 + 67,278 + … + 67,283 16,226 + 16,227 + … + 16,254 14,702 + 14,703 + … + 14,733
Aliquot sequence: 470,960 825,088 977,720 1,222,240 1,665,680 2,298,352 2,791,104 4,594,200 12,071,400 30,783,000 68,657,640 148,163,160 330,838,440 704,838,360 1,565,209,320 3,130,419,000 6,708,064,200 — unresolved within range

Continued fraction of √n

√470,960 = [686; (3, 1, 3, 2, 1, 7, 2, 2, 1, 20, 2, 2, 9, 2, 2, 20, 1, 2, 2, 7, 1, 2, 3, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
four hundred seventy thousand nine hundred sixty
Ordinal
470960th
Binary
1110010111110110000
Octal
1627660
Hexadecimal
0x72FB0
Base64
By+w
One's complement
4,294,496,335 (32-bit)
Scientific notation
4.7096 × 10⁵
As a duration
470,960 s = 5 days, 10 hours, 49 minutes, 20 seconds
In other bases
ternary (3) 212221000222
quaternary (4) 1302332300
quinary (5) 110032320
senary (6) 14032212
septenary (7) 4001030
nonary (9) 787028
undecimal (11) 2a1926
duodecimal (12) 1a8668
tridecimal (13) 136499
tetradecimal (14) c38c0
pentadecimal (15) 94825

As an angle

470,960° = 1,308 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υοϡξʹ
Chinese
四十七萬零九百六十
Chinese (financial)
肆拾柒萬零玖佰陸拾
In other modern scripts
Eastern Arabic ٤٧٠٩٦٠ Devanagari ४७०९६० Bengali ৪৭০৯৬০ Tamil ௪௭௦௯௬௦ Thai ๔๗๐๙๖๐ Tibetan ༤༧༠༩༦༠ Khmer ៤៧០៩៦០ Lao ໔໗໐໙໖໐ Burmese ၄၇၀၉၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 470960, here are decompositions:

  • 3 + 470957 = 470960
  • 13 + 470947 = 470960
  • 19 + 470941 = 470960
  • 73 + 470887 = 470960
  • 79 + 470881 = 470960
  • 97 + 470863 = 470960
  • 181 + 470779 = 470960
  • 211 + 470749 = 470960

Showing the first eight; more decompositions exist.

Hex color
#072FB0
RGB(7, 47, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.47.176.

Address
0.7.47.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.47.176

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 470,960 and was likely granted around 1891.

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°.