513,940
513,940 is a composite number, even.
513,940 (five hundred thirteen thousand nine hundred forty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 7 × 3,671. Its proper divisors sum to 719,852, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7D794.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 49,315
- Square (n²)
- 264,134,323,600
- Cube (n³)
- 135,749,194,270,984,000
- Divisor count
- 24
- σ(n) — sum of divisors
- 1,233,792
- φ(n) — Euler's totient
- 176,160
- Sum of prime factors
- 3,687
Primality
Prime factorization: 2 2 × 5 × 7 × 3671
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√513,940 = [716; (1, 8, 1, 1, 1, 1, 1, 9, 1, 1, 5, 89, 2, 3, 8, 10, 8, 3, 2, 89, 5, 1, 1, 9, …)]
Period length 32 — the block in parentheses repeats forever.
Representations
- In words
- five hundred thirteen thousand nine hundred forty
- Ordinal
- 513940th
- Binary
- 1111101011110010100
- Octal
- 1753624
- Hexadecimal
- 0x7D794
- Base64
- B9eU
- One's complement
- 4,294,453,355 (32-bit)
- Scientific notation
- 5.1394 × 10⁵
- As a duration
- 513,940 s = 5 days, 22 hours, 45 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵φιγϡμʹ
- Chinese
- 五十一萬三千九百四十
- Chinese (financial)
- 伍拾壹萬參仟玖佰肆拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 513940, here are decompositions:
- 3 + 513937 = 513940
- 17 + 513923 = 513940
- 23 + 513917 = 513940
- 41 + 513899 = 513940
- 59 + 513881 = 513940
- 101 + 513839 = 513940
- 173 + 513767 = 513940
- 179 + 513761 = 513940
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.215.148.
- Address
- 0.7.215.148
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.215.148
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 513,940 and was likely granted around 1894.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 513940 first appears in π at position 837,675 of the decimal expansion (the 837,675ordinal-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°.