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12715968 = 263103643
BaseRepresentation
bin110000100000…
…011111000000
3212221001000210
4300200133000
511223402333
61132314120
7213040536
oct60403700
925831023
1012715968
1171a5771
124312940
132832b55
141990156
1511b2a63
hexc207c0

12715968 has 56 divisors (see below), whose sum is σ = 34023808. Its totient is φ = 4190976.

The previous prime is 12715951. The next prime is 12715979. The reversal of 12715968 is 86951721.

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, 19455 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (607568).

Almost surely, 212715968 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 12715968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17011904).

12715968 is an abundant number, since it is smaller than the sum of its proper divisors (21307840).

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

12715968 is a wasteful number, since it uses less digits than its factorization.

12715968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 751 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 12715968 is about 3565.9455968929. The cubic root of 12715968 is about 233.4083967112.

The spelling of 12715968 in words is "twelve million, seven hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 192 206 309 412 618 643 824 1236 1286 1648 1929 2472 2572 3296 3858 4944 5144 6592 7716 9888 10288 15432 19776 20576 30864 41152 61728 66229 123456 132458 198687 264916 397374 529832 794748 1059664 1589496 2119328 3178992 4238656 6357984 12715968