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116480736 = 25321737643
BaseRepresentation
bin1101111000101…
…01101011100000
322010011211112100
412330111223200
5214304340421
615320330400
72613032661
oct674255340
9263154470
10116480736
115a828779
1233013a00
131b194118
1411681368
15a35cc26
hex6f15ae0

116480736 has 144 divisors (see below), whose sum is σ = 360766224. Its totient is φ = 35500032.

The previous prime is 116480701. The next prime is 116480747. The reversal of 116480736 is 637084611.

116480736 is a `hidden beast` number, since 1 + 1 + 648 + 0 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 116480736.

It is a congruent number.

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, 180831 + ... + 181473.

It is an arithmetic number, because the mean of its divisors is an integer number (2505321).

Almost surely, 2116480736 is an apocalyptic number.

116480736 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 116480736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180383112).

116480736 is an abundant number, since it is smaller than the sum of its proper divisors (244285488).

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

116480736 is a wasteful number, since it uses less digits than its factorization.

116480736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116480736 is about 10792.6241480003. The cubic root of 116480736 is about 488.3726885182.

The spelling of 116480736 in words is "one hundred sixteen million, four hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 37 48 51 68 72 74 96 102 111 136 144 148 153 204 222 272 288 296 306 333 408 444 544 592 612 629 643 666 816 888 1184 1224 1258 1286 1332 1632 1776 1887 1929 2448 2516 2572 2664 3552 3774 3858 4896 5032 5144 5328 5661 5787 7548 7716 10064 10288 10656 10931 11322 11574 15096 15432 20128 20576 21862 22644 23148 23791 30192 30864 32793 43724 45288 46296 47582 60384 61728 65586 71373 87448 90576 92592 95164 98379 131172 142746 174896 181152 185184 190328 196758 214119 262344 285492 349792 380656 393516 404447 428238 524688 570984 761312 787032 808894 856476 1049376 1141968 1213341 1574064 1617788 1712952 2283936 2426682 3148128 3235576 3425904 3640023 4853364 6471152 6851808 7280046 9706728 12942304 14560092 19413456 29120184 38826912 58240368 116480736