521,400
521,400 is a composite number, even.
521,400 (five hundred twenty-one thousand four hundred) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3 × 5² × 11 × 79. Its proper divisors sum to 1,264,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7F4B8.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 12
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,125
- Square (n²)
- 271,857,960,000
- Cube (n³)
- 141,746,740,344,000,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,785,600
- φ(n) — Euler's totient
- 124,800
- Sum of prime factors
- 109
Primality
Prime factorization: 2 3 × 3 × 5 2 × 11 × 79
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√521,400 = [722; (12, 2, 4, 2, 1, 1, 36, 2, 3, 1, 1, 7, 1, 56, 1, 7, 1, 1, 3, 2, 36, 1, 1, 2, …)]
Period length 28 — the block in parentheses repeats forever.
Representations
- In words
- five hundred twenty-one thousand four hundred
- Ordinal
- 521400th
- Binary
- 1111111010010111000
- Octal
- 1772270
- Hexadecimal
- 0x7F4B8
- Base64
- B/S4
- One's complement
- 4,294,445,895 (32-bit)
- Scientific notation
- 5.214 × 10⁵
- As a duration
- 521,400 s = 6 days, 50 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵φκαυʹ
- Chinese
- 五十二萬一千四百
- Chinese (financial)
- 伍拾貳萬壹仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 521400, here are decompositions:
- 7 + 521393 = 521400
- 23 + 521377 = 521400
- 31 + 521369 = 521400
- 37 + 521363 = 521400
- 41 + 521359 = 521400
- 43 + 521357 = 521400
- 71 + 521329 = 521400
- 83 + 521317 = 521400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.244.184.
- Address
- 0.7.244.184
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.244.184
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 521,400 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 521400 first appears in π at position 977,257 of the decimal expansion (the 977,257ordinal-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°.