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108536064 = 2837131553
BaseRepresentation
bin1100111100000…
…10000100000000
321120020012111020
412132002010000
5210241123224
614434145440
72455353450
oct636020400
9246205436
10108536064
11562a182a
1230422280
1319641c30
14105b3d60
1597ddc79
hex6782100

108536064 has 144 divisors (see below), whose sum is σ = 355754112. Its totient is φ = 28606464.

The previous prime is 108536033. The next prime is 108536089. The reversal of 108536064 is 460635801.

It is a super-2 number, since 2×1085360642 = 23560154377224192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69112 + ... + 70664.

Almost surely, 2108536064 is an apocalyptic number.

108536064 is a gapful number since it is divisible by the number (14) 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 108536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177877056).

108536064 is an abundant number, since it is smaller than the sum of its proper divisors (247218048).

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

108536064 is a wasteful number, since it uses less digits than its factorization.

108536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 108536064 is about 10418.0643115696. The cubic root of 108536064 is about 477.0069308839.

The spelling of 108536064 in words is "one hundred eight million, five hundred thirty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1553 1664 1792 2184 2496 2688 2912 3106 3328 4368 4659 4992 5376 5824 6212 8736 9318 9984 10871 11648 12424 17472 18636 20189 21742 23296 24848 32613 34944 37272 40378 43484 49696 60567 65226 69888 74544 80756 86968 99392 121134 130452 141323 149088 161512 173936 198784 242268 260904 282646 298176 323024 347872 397568 423969 484536 521808 565292 596352 646048 695744 847938 969072 1043616 1130584 1192704 1292096 1391488 1695876 1938144 2087232 2261168 2584192 2782976 3391752 3876288 4174464 4522336 5168384 6783504 7752576 8348928 9044672 13567008 15505152 18089344 27134016 36178688 54268032 108536064