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460213668 = 223219672827
BaseRepresentation
bin11011011011100…
…100110110100100
31012001222021110200
4123123210312210
51420303314133
6113355550500
714255515545
oct3333446644
91161867420
10460213668
11216862382
1210a15b430
13744648a5
144519a4cc
152a609913
hex1b6e4da4

460213668 has 36 divisors (see below), whose sum is σ = 1224546960. Its totient is φ = 145330416.

The previous prime is 460213667. The next prime is 460213679. The reversal of 460213668 is 866312064.

460213668 is a `hidden beast` number, since 460 + 2 + 136 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (460213667) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335730 + ... + 337097.

Almost surely, 2460213668 is an apocalyptic number.

It is an amenable number.

460213668 is an abundant number, since it is smaller than the sum of its proper divisors (764333292).

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

460213668 is a wasteful number, since it uses less digits than its factorization.

460213668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672856 (or 672851 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 460213668 is about 21452.5911721638. The cubic root of 460213668 is about 772.0637660198.

The spelling of 460213668 in words is "four hundred sixty million, two hundred thirteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 672827 1345654 2018481 2691308 4036962 6055443 8073924 12110886 12783713 24221772 25567426 38351139 51134852 76702278 115053417 153404556 230106834 460213668