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116010504 = 233219137619
BaseRepresentation
bin1101110101000…
…10111000001000
322002021221111100
412322202320020
5214144314004
615302301400
72606034021
oct672427010
9262257440
10116010504
115a537455
1232a27860
131b05b08c
141159bc48
15a2b8739
hex6ea2e08

116010504 has 96 divisors (see below), whose sum is σ = 333684000. Its totient is φ = 36308736.

The previous prime is 116010497. The next prime is 116010529. The reversal of 116010504 is 405010611.

116010504 is a `hidden beast` number, since 1 + 160 + 1 + 0 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 187107 + ... + 187725.

It is an arithmetic number, because the mean of its divisors is an integer number (3475875).

Almost surely, 2116010504 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 116010504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166842000).

116010504 is an abundant number, since it is smaller than the sum of its proper divisors (217673496).

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

116010504 is a wasteful number, since it uses less digits than its factorization.

116010504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 116010504 is about 10770.8172391885. The cubic root of 116010504 is about 487.7146163518.

It can be divided in two parts, 1160 and 10504, that added together give a square (11664 = 1082).

The spelling of 116010504 in words is "one hundred sixteen million, ten thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 411 456 548 619 684 822 1096 1233 1238 1368 1644 1857 2466 2476 2603 3288 3714 4932 4952 5206 5571 7428 7809 9864 10412 11142 11761 14856 15618 20824 22284 23427 23522 31236 35283 44568 46854 47044 62472 70566 84803 93708 94088 105849 141132 169606 187416 211698 254409 282264 339212 423396 508818 678424 763227 846792 1017636 1526454 1611257 2035272 3052908 3222514 4833771 6105816 6445028 9667542 12890056 14501313 19335084 29002626 38670168 58005252 116010504