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460070968 = 23747174799
BaseRepresentation
bin11011011011000…
…010000000111000
31012001201000201111
4123123002000320
51420234232333
6113352530104
714254352530
oct3333020070
91161630644
10460070968
11216775145
1210a0b0934
1374414956
14451604c0
152a5cc4cd
hex1b6c2038

460070968 has 32 divisors (see below), whose sum is σ = 1006848000. Its totient is φ = 192976992.

The previous prime is 460070939. The next prime is 460070981. The reversal of 460070968 is 869070064.

It is a self number, because there is not a number n which added to its sum of digits gives 460070968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84768 + ... + 90031.

It is an arithmetic number, because the mean of its divisors is an integer number (31464000).

Almost surely, 2460070968 is an apocalyptic number.

It is an amenable number.

460070968 is an abundant number, since it is smaller than the sum of its proper divisors (546777032).

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

460070968 is a wasteful number, since it uses less digits than its factorization.

460070968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174859 (or 174855 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 460070968 is about 21449.2649757515. The cubic root of 460070968 is about 771.9839589676.

The spelling of 460070968 in words is "four hundred sixty million, seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 658 1316 2632 174799 349598 699196 1223593 1398392 2447186 4894372 8215553 9788744 16431106 32862212 57508871 65724424 115017742 230035484 460070968