Base | Representation |
---|---|
bin | 11011011101010… |
… | …111100000000000 |
3 | 1012002212010122010 |
4 | 123131113200000 |
5 | 1420413331024 |
6 | 113414012520 |
7 | 14262512616 |
oct | 3335274000 |
9 | 1162763563 |
10 | 460683264 |
11 | 217053178 |
12 | 10a347140 |
13 | 7459a562 |
14 | 4527d6b6 |
15 | 2a69db29 |
hex | 1b757800 |
460683264 has 96 divisors (see below), whose sum is σ = 1242455760. Its totient is φ = 151781376.
The previous prime is 460683247. The next prime is 460683341. The reversal of 460683264 is 462386064.
It is a tau number, because it is divible by the number of its divisors (96).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595582 + ... + 596354.
Almost surely, 2460683264 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 460683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621227880).
460683264 is an abundant number, since it is smaller than the sum of its proper divisors (781772496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
460683264 is an equidigital number, since it uses as much as digits as its factorization.
460683264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 895 (or 875 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 39.
The square root of 460683264 is about 21463.5333531085. The cubic root of 460683264 is about 772.3262780041.
The spelling of 460683264 in words is "four hundred sixty million, six hundred eighty-three thousand, two hundred sixty-four".
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