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116399088 = 24321324783
BaseRepresentation
bin1101111000000…
…01101111110000
322010000200112100
412330001233300
5214244232323
615314500400
72612242641
oct674015760
9263020470
10116399088
115a7823a3
1232b94700
131b165c00
141165d6c8
15a343943
hex6f01bf0

116399088 has 90 divisors (see below), whose sum is σ = 352815216. Its totient is φ = 35807616.

The previous prime is 116399083. The next prime is 116399093. The reversal of 116399088 is 880993611.

116399088 is a `hidden beast` number, since 1 + 1 + 639 + 9 + 0 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (116399083) and next prime (116399093).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116399081) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21945 + ... + 26727.

Almost surely, 2116399088 is an apocalyptic number.

116399088 is a gapful number since it is divisible by the number (18) 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 116399088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176407608).

116399088 is an abundant number, since it is smaller than the sum of its proper divisors (236416128).

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

116399088 is a wasteful number, since it uses less digits than its factorization.

116399088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 116399088 is about 10788.8409015983. The cubic root of 116399088 is about 488.2585524098.

The spelling of 116399088 in words is "one hundred sixteen million, three hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 4783 6084 8112 9566 12168 14349 19132 24336 28698 38264 43047 57396 62179 76528 86094 114792 124358 172188 186537 229584 248716 344376 373074 497432 559611 688752 746148 808327 994864 1119222 1492296 1616654 2238444 2424981 2984592 3233308 4476888 4849962 6466616 7274943 8953776 9699924 12933232 14549886 19399848 29099772 38799696 58199544 116399088