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116645312 = 2673137227
BaseRepresentation
bin1101111001111…
…01110111000000
322010111012021202
412330331313000
5214330122222
615324040332
72614316540
oct674756700
9263435252
10116645312
115a930393
12330930a8
131b220cc4
14116c5320
15a391892
hex6f3ddc0

116645312 has 112 divisors (see below), whose sum is σ = 281683968. Its totient is φ = 46863360.

The previous prime is 116645299. The next prime is 116645323. The reversal of 116645312 is 213546611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1166453122 = 27212257623154688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513743 + ... + 513969.

Almost surely, 2116645312 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 116645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140841984).

116645312 is an abundant number, since it is smaller than the sum of its proper divisors (165038656).

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

116645312 is a wasteful number, since it uses less digits than its factorization.

116645312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 116645312 is about 10800.2459231260. The cubic root of 116645312 is about 488.6025880486.

The spelling of 116645312 in words is "one hundred sixteen million, six hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 148 217 224 227 248 259 296 434 448 454 496 518 592 868 908 992 1036 1147 1184 1589 1736 1816 1984 2072 2294 2368 3178 3472 3632 4144 4588 6356 6944 7037 7264 8029 8288 8399 9176 12712 13888 14074 14528 16058 16576 16798 18352 25424 28148 32116 33596 36704 49259 50848 56296 58793 64232 67192 73408 98518 101696 112592 117586 128464 134384 197036 225184 235172 256928 260369 268768 394072 450368 470344 513856 520738 537536 788144 940688 1041476 1576288 1822583 1881376 2082952 3152576 3645166 3762752 4165904 7290332 8331808 14580664 16663616 29161328 58322656 116645312