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116452368 = 243219311373
BaseRepresentation
bin1101111000011…
…10110000010000
322010010101121200
412330032300100
5214302433433
615315551200
72612554164
oct674166020
9263111550
10116452368
115a80942a
1232bbb500
131b184236
1411674ca4
15a354613
hex6f0ec10

116452368 has 120 divisors (see below), whose sum is σ = 354382080. Its totient is φ = 35562240.

The previous prime is 116452331. The next prime is 116452373. The reversal of 116452368 is 863254611.

It is a happy number.

116452368 is a `hidden beast` number, since 1 + 1 + 645 + 2 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×1164523682 = 27122308025614848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 84130 + ... + 85502.

It is an arithmetic number, because the mean of its divisors is an integer number (2953184).

Almost surely, 2116452368 is an apocalyptic number.

116452368 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 116452368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177191040).

116452368 is an abundant number, since it is smaller than the sum of its proper divisors (237929712).

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

116452368 is a wasteful number, since it uses less digits than its factorization.

116452368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 116452368 is about 10791.3098370865. The cubic root of 116452368 is about 488.3330388109. Note that the first 3 decimals are identical.

The spelling of 116452368 in words is "one hundred sixteen million, four hundred fifty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 38 48 57 62 72 76 93 114 124 144 152 171 186 228 248 279 304 342 372 456 496 558 589 684 744 912 1116 1178 1368 1373 1488 1767 2232 2356 2736 2746 3534 4119 4464 4712 5301 5492 7068 8238 9424 10602 10984 12357 14136 16476 21204 21968 24714 26087 28272 32952 42408 42563 49428 52174 65904 78261 84816 85126 98856 104348 127689 156522 170252 197712 208696 234783 255378 313044 340504 383067 417392 469566 510756 626088 681008 766134 808697 939132 1021512 1252176 1532268 1617394 1878264 2043024 2426091 3064536 3234788 3756528 4852182 6129072 6469576 7278273 9704364 12939152 14556546 19408728 29113092 38817456 58226184 116452368