972,400
972,400 is a composite number, even.
972,400 (nine hundred seventy-two thousand four hundred) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 5² × 11 × 13 × 17. Its proper divisors sum to 1,933,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xED670.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 22
- Digit product
- 0
- Digital root
- 4
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 4,279
- Square (n²)
- 945,561,760,000
- Cube (n³)
- 919,464,255,424,000,000
- Divisor count
- 120
- σ(n) — sum of divisors
- 2,906,064
- φ(n) — Euler's totient
- 307,200
- Sum of prime factors
- 59
Primality
Prime factorization: 2 4 × 5 2 × 11 × 13 × 17
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√972,400 = [986; (9, 1, 2, 218, 1, 3, 1, 2, 1, 12, 1, 23, 2, 2, 1, 1, 1, 122, 1, 1, 1, 2, 2, 23, …)]
Period length 36 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred seventy-two thousand four hundred
- Ordinal
- 972400th
- Binary
- 11101101011001110000
- Octal
- 3553160
- Hexadecimal
- 0xED670
- Base64
- DtZw
- One's complement
- 4,293,994,895 (32-bit)
- Scientific notation
- 9.724 × 10⁵
- As a duration
- 972,400 s = 11 days, 6 hours, 6 minutes, 40 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵ϡοβυʹ
- Chinese
- 九十七萬二千四百
- Chinese (financial)
- 玖拾柒萬貳仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 972400, here are decompositions:
- 47 + 972353 = 972400
- 53 + 972347 = 972400
- 71 + 972329 = 972400
- 137 + 972263 = 972400
- 173 + 972227 = 972400
- 179 + 972221 = 972400
- 239 + 972161 = 972400
- 263 + 972137 = 972400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.214.112.
- Address
- 0.14.214.112
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.214.112
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 972,400 and was likely granted around 1910.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 972400 first appears in π at position 792,001 of the decimal expansion (the 792,001ordinal-suffix:st 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°.