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116406336 = 263679049
BaseRepresentation
bin1101111000000…
…11100001000000
322010001001110210
412330003201000
5214300000321
615314554120
72612303034
oct674034100
9263031423
10116406336
115a787892
1232b98940
131b1692b7
14116621c4
15a345b76
hex6f03840

116406336 has 56 divisors (see below), whose sum is σ = 312623200. Its totient is φ = 38218752.

The previous prime is 116406317. The next prime is 116406341. The reversal of 116406336 is 633604611.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8340 + ... + 17388.

Almost surely, 2116406336 is an apocalyptic number.

116406336 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 116406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156311600).

116406336 is an abundant number, since it is smaller than the sum of its proper divisors (196216864).

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

116406336 is an equidigital number, since it uses as much as digits as its factorization.

116406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9131 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 116406336 is about 10789.1767989963. The cubic root of 116406336 is about 488.2686865801.

The spelling of 116406336 in words is "one hundred sixteen million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 9049 12864 18098 27147 36196 54294 72392 108588 144784 217176 289568 434352 579136 606283 868704 1212566 1737408 1818849 2425132 3637698 4850264 7275396 9700528 14550792 19401056 29101584 38802112 58203168 116406336