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116152704 = 273417659
BaseRepresentation
bin1101110110001…
…01100110000000
322002120011120000
412323011212000
5214213341304
615305320000
72610165423
oct673054600
9262504500
10116152704
115a624278
1232a96000
131b0aaa15
14115d79ba
15a2e5939
hex6ec5980

116152704 has 160 divisors (see below), whose sum is σ = 366557400. Its totient is φ = 36384768.

The previous prime is 116152703. The next prime is 116152711. The reversal of 116152704 is 407251611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116152703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 175927 + ... + 176585.

Almost surely, 2116152704 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 116152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183278700).

116152704 is an abundant number, since it is smaller than the sum of its proper divisors (250404696).

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

116152704 is an equidigital number, since it uses as much as digits as its factorization.

116152704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 116152704 is about 10777.4163879846. The cubic root of 116152704 is about 487.9138072263.

The spelling of 116152704 in words is "one hundred sixteen million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 659 816 864 918 1088 1152 1224 1296 1318 1377 1632 1728 1836 1977 2176 2448 2592 2636 2754 3264 3456 3672 3954 4896 5184 5272 5508 5931 6528 7344 7908 9792 10368 10544 11016 11203 11862 14688 15816 17793 19584 21088 22032 22406 23724 29376 31632 33609 35586 42176 44064 44812 47448 53379 58752 63264 67218 71172 84352 88128 89624 94896 100827 106758 126528 134436 142344 176256 179248 189792 201654 213516 253056 268872 284688 302481 358496 379584 403308 427032 537744 569376 604962 716992 759168 806616 854064 907443 1075488 1138752 1209924 1433984 1613232 1708128 1814886 2150976 2277504 2419848 3226464 3416256 3629772 4301952 4839696 6452928 6832512 7259544 9679392 12905856 14519088 19358784 29038176 38717568 58076352 116152704