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460714072 = 23721390407
BaseRepresentation
bin11011011101011…
…111000001011000
31012002220200220011
4123131133001120
51420420322242
6113414411304
714263001500
oct3335370130
91162820804
10460714072
11217074335
1210a360b34
13745ab5a0
144528aa00
152a6a7d17
hex1b75f058

460714072 has 48 divisors (see below), whose sum is σ = 1082183760. Its totient is φ = 182258496.

The previous prime is 460714063. The next prime is 460714087. The reversal of 460714072 is 270417064.

It is a super-2 number, since 2×4607140722 = 424514912277642368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40108 + ... + 50299.

It is an arithmetic number, because the mean of its divisors is an integer number (22545495).

Almost surely, 2460714072 is an apocalyptic number.

It is an amenable number.

460714072 is an abundant number, since it is smaller than the sum of its proper divisors (621469688).

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

460714072 is a wasteful number, since it uses less digits than its factorization.

460714072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90440 (or 90429 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 460714072 is about 21464.2510235042. The cubic root of 460714072 is about 772.3434939523.

The spelling of 460714072 in words is "four hundred sixty million, seven hundred fourteen thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 90407 180814 361628 632849 723256 1175291 1265698 2350582 2531396 4429943 4701164 5062792 8227037 8859886 9402328 16454074 17719772 32908148 35439544 57589259 65816296 115178518 230357036 460714072