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6012972 = 22327107223
BaseRepresentation
bin10110111100000000101100
3102022111020200
4112330000230
53014403342
6332513500
7102052350
oct26740054
912274220
106012972
1134376a9
12201b890
131326b94
14b27460
157db94c
hex5bc02c

6012972 has 72 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 1694304.

The previous prime is 6012899. The next prime is 6013013. The reversal of 6012972 is 2792106.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26853 + ... + 27075.

It is an arithmetic number, because the mean of its divisors is an integer number (244608).

Almost surely, 26012972 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 6012972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

6012972 is an abundant number, since it is smaller than the sum of its proper divisors (11598804).

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

6012972 is a wasteful number, since it uses less digits than its factorization.

6012972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6012972 is about 2452.1362115511. The cubic root of 6012972 is about 181.8429188464.

The spelling of 6012972 in words is "six million, twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 214 223 252 321 428 446 642 669 749 892 963 1284 1338 1498 1561 1926 2007 2247 2676 2996 3122 3852 4014 4494 4683 6244 6741 8028 8988 9366 13482 14049 18732 23861 26964 28098 47722 56196 71583 95444 143166 167027 214749 286332 334054 429498 501081 668108 858996 1002162 1503243 2004324 3006486 6012972