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467,940

467,940 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.).

467,940 (four hundred sixty-seven thousand nine hundred forty) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 5 × 11 × 709. Its proper divisors sum to 963,420, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x723E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
19 bits
Reversed
49,764
Square (n²)
218,967,843,600
Cube (n³)
102,463,812,734,184,000
Divisor count
48
σ(n) — sum of divisors
1,431,360
φ(n) — Euler's totient
113,280
Sum of prime factors
732

Primality

Prime factorization: 2 2 × 3 × 5 × 11 × 709

Nearest primes: 467,927 (−13) · 467,941 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 5 · 6 · 10 · 11 · 12 · 15 · 20 · 22 · 30 · 33 · 44 · 55 · 60 · 66 · 110 · 132 · 165 · 220 · 330 · 660 · 709 · 1418 · 2127 · 2836 · 3545 · 4254 · 7090 · 7799 · 8508 · 10635 · 14180 · 15598 · 21270 · 23397 · 31196 · 38995 · 42540 · 46794 · 77990 · 93588 · 116985 · 155980 · 233970 (half) · 467940
Aliquot sum (sum of proper divisors): 963,420
Factor pairs (a × b = 467,940)
1 × 467940
2 × 233970
3 × 155980
4 × 116985
5 × 93588
6 × 77990
10 × 46794
11 × 42540
12 × 38995
15 × 31196
20 × 23397
22 × 21270
30 × 15598
33 × 14180
44 × 10635
55 × 8508
60 × 7799
66 × 7090
110 × 4254
132 × 3545
165 × 2836
220 × 2127
330 × 1418
660 × 709
First multiples
467,940 · 935,880 (double) · 1,403,820 · 1,871,760 · 2,339,700 · 2,807,640 · 3,275,580 · 3,743,520 · 4,211,460 · 4,679,400

Sums & aliquot sequence

As consecutive integers: 155,979 + 155,980 + 155,981 93,586 + 93,587 + 93,588 + 93,589 + 93,590 58,489 + 58,490 + … + 58,496 42,535 + 42,536 + … + 42,545
Aliquot sequence: 467,940 → 963,420 → 1,734,324 → 2,351,436 → 3,355,356 → 4,473,836 → 3,690,964 → 2,768,230 → 2,214,602 → 1,551,958 → 898,562 → 708,154 → 369,254 → 184,630 → 157,370 → 125,914 → 64,634 — unresolved within range

Continued fraction of √n

√467,940 = [684; (16, 3, 2, 27, 2, 27, 2, 3, 16, 1368)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
four hundred sixty-seven thousand nine hundred forty
Ordinal
467940th
Binary
1110010001111100100
Octal
1621744
Hexadecimal
0x723E4
Base64
ByPk
One's complement
4,294,499,355 (32-bit)
Scientific notation
4.6794 × 10⁵
As a duration
467,940 s = 5 days, 9 hours, 59 minutes
In other bases
ternary (3) 212202220010
quaternary (4) 1302033210
quinary (5) 104433230
senary (6) 14010220
septenary (7) 3656154
nonary (9) 782803
undecimal (11) 29a630
duodecimal (12) 1a6970
tridecimal (13) 134cb5
tetradecimal (14) c2764
pentadecimal (15) 939b0

As an angle

467,940° = 1,299 × 360° + 300°
300° ≈ 5.236 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵υξζϡμʹ
Chinese
四十六萬七千九百四十
Chinese (financial)
肆拾陸萬柒仟玖佰肆拾
In other modern scripts
Eastern Arabic ٤٦٧٩٤٠ Devanagari ४६७९४० Bengali ৪৬৭৯৪০ Tamil ௪௬௭௯௪௦ Thai ๔๖๗๙๔๐ Tibetan ༤༦༧༩༤༠ Khmer ៤៦៧៩៤០ Lao ໔໖໗໙໔໐ Burmese ၄၆၇၉၄၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 467940, here are decompositions:

  • 13 + 467927 = 467940
  • 37 + 467903 = 467940
  • 41 + 467899 = 467940
  • 43 + 467897 = 467940
  • 47 + 467893 = 467940
  • 59 + 467881 = 467940
  • 61 + 467879 = 467940
  • 71 + 467869 = 467940

Showing the first eight; more decompositions exist.

Hex color
#0723E4
RGB(7, 35, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.35.228.

Address
0.7.35.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.7.35.228

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 467,940 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 467940 first appears in π at position 272,887 of the decimal expansion (the 272,887ordinal-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°.