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108703296 = 2634131613
BaseRepresentation
bin1100111101010…
…10111001000000
321120112200220000
412132222321000
5210312001141
614441520000
72456651142
oct636527100
9246480800
10108703296
11563a6439
12304a3000
13196a00a0
1410618c92
1598235b6
hex67aae40

108703296 has 140 divisors (see below), whose sum is σ = 347232732. Its totient is φ = 33426432.

The previous prime is 108703271. The next prime is 108703303. The reversal of 108703296 is 692307801.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 68558400 = 6336^2 + 8280^2 .

It is a super-2 number, since 2×1087032962 = 23632813122527232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 108703296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66586 + ... + 68198.

Almost surely, 2108703296 is an apocalyptic number.

108703296 is a gapful number since it is divisible by the number (16) 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 108703296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173616366).

108703296 is an abundant number, since it is smaller than the sum of its proper divisors (238529436).

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

108703296 is a wasteful number, since it uses less digits than its factorization.

108703296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 108703296 is about 10426.0872814302. The cubic root of 108703296 is about 477.2517953863.

The spelling of 108703296 in words is "one hundred eight million, seven hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1613 1728 1872 2106 2496 2592 2808 3226 3744 4212 4839 5184 5616 6452 7488 8424 9678 11232 12904 14517 16848 19356 20969 22464 25808 29034 33696 38712 41938 43551 51616 58068 62907 67392 77424 83876 87102 103232 116136 125814 130653 154848 167752 174204 188721 232272 251628 261306 309696 335504 348408 377442 464544 503256 522612 566163 671008 696816 754884 929088 1006512 1045224 1132326 1342016 1393632 1509768 1698489 2013024 2090448 2264652 2787264 3019536 3396978 4026048 4180896 4529304 6039072 6793956 8361792 9058608 12078144 13587912 18117216 27175824 36234432 54351648 108703296