966,420
966,420 is a composite number, even.
966,420 (nine hundred sixty-six thousand four hundred twenty) is an even 6-digit number. It is a composite number with 144 divisors, and factors as 2² × 3² × 5 × 7 × 13 × 59. Its proper divisors sum to 2,702,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xEBF14.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 20 bits
- Reversed
- 24,669
- Square (n²)
- 933,967,616,400
- Cube (n³)
- 902,604,983,841,288,000
- Divisor count
- 144
- σ(n) — sum of divisors
- 3,669,120
- φ(n) — Euler's totient
- 200,448
- Sum of prime factors
- 94
Primality
Prime factorization: 2 2 × 3 2 × 5 × 7 × 13 × 59
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√966,420 = [983; (15, 122, 1, 4, 2, 4, 1, 122, 15, 1966)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- nine hundred sixty-six thousand four hundred twenty
- Ordinal
- 966420th
- Binary
- 11101011111100010100
- Octal
- 3537424
- Hexadecimal
- 0xEBF14
- Base64
- Dr8U
- One's complement
- 4,294,000,875 (32-bit)
- Scientific notation
- 9.6642 × 10⁵
- As a duration
- 966,420 s = 11 days, 4 hours, 27 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆
- Greek (Milesian)
- ͵ϡξϛυκʹ
- Chinese
- 九十六萬六千四百二十
- Chinese (financial)
- 玖拾陸萬陸仟肆佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 966420, here are decompositions:
- 11 + 966409 = 966420
- 19 + 966401 = 966420
- 31 + 966389 = 966420
- 41 + 966379 = 966420
- 43 + 966377 = 966420
- 47 + 966373 = 966420
- 67 + 966353 = 966420
- 73 + 966347 = 966420
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.14.191.20.
- Address
- 0.14.191.20
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.14.191.20
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 966,420 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 966420 first appears in π at position 10,058 of the decimal expansion (the 10,058ordinal-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°.