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460135056 = 243172324517
BaseRepresentation
bin11011011011010…
…001101010010000
31012001211021122010
4123123101222100
51420243310211
6113354142520
714255040423
oct3333215220
91161737563
10460135056
11216809307
1210a121a40
1374437b84
14451799ba
152a5e14a6
hex1b6d1a90

460135056 has 80 divisors (see below), whose sum is σ = 1313380224. Its totient is φ = 138074112.

The previous prime is 460135037. The next prime is 460135061. The reversal of 460135056 is 650531064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6510 + ... + 31026.

Almost surely, 2460135056 is an apocalyptic number.

460135056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460135056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656690112).

460135056 is an abundant number, since it is smaller than the sum of its proper divisors (853245168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460135056 is a wasteful number, since it uses less digits than its factorization.

460135056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24568 (or 24562 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 460135056 is about 21450.7588676951. The cubic root of 460135056 is about 772.0198031556.

The spelling of 460135056 in words is "four hundred sixty million, one hundred thirty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 3128 4692 6256 9384 18768 24517 49034 73551 98068 147102 196136 294204 392272 416789 563891 588408 833578 1127782 1176816 1250367 1667156 1691673 2255564 2500734 3334312 3383346 4511128 5001468 6668624 6766692 9022256 9586147 10002936 13533384 19172294 20005872 27066768 28758441 38344588 57516882 76689176 115033764 153378352 230067528 460135056