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11136972 = 22371117709
BaseRepresentation
bin101010011110…
…111111001100
3202221211001110
4222132333030
510322340342
61034412020
7163443210
oct52367714
922854043
1011136972
116317410
123891010
1323cc232
14169c940
15e9ec9c
hexa9efcc

11136972 has 96 divisors (see below), whose sum is σ = 34352640. Its totient is φ = 2718720.

The previous prime is 11136971. The next prime is 11136977. The reversal of 11136972 is 27963111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11136971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15354 + ... + 16062.

It is an arithmetic number, because the mean of its divisors is an integer number (357840).

Almost surely, 211136972 is an apocalyptic number.

11136972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11136972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17176320).

11136972 is an abundant number, since it is smaller than the sum of its proper divisors (23215668).

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

11136972 is a wasteful number, since it uses less digits than its factorization.

11136972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 749 counting only the distinct ones).

The product of its digits is 2268, while the sum is 30.

The square root of 11136972 is about 3337.2102121383. The cubic root of 11136972 is about 223.3173038667.

The spelling of 11136972 in words is "eleven million, one hundred thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 11 12 14 17 21 22 28 33 34 42 44 51 66 68 77 84 102 119 132 154 187 204 231 238 308 357 374 462 476 561 709 714 748 924 1122 1309 1418 1428 2127 2244 2618 2836 3927 4254 4963 5236 7799 7854 8508 9926 12053 14889 15598 15708 19852 23397 24106 29778 31196 36159 46794 48212 54593 59556 72318 84371 93588 109186 132583 144636 163779 168742 218372 253113 265166 327558 337484 397749 506226 530332 655116 795498 928081 1012452 1590996 1856162 2784243 3712324 5568486 11136972