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116366016 = 26313232027
BaseRepresentation
bin1101110111110…
…01101011000000
322002222000011110
412323321223000
5214242203031
615314043320
72612044344
oct673715300
9262860143
10116366016
115a75a568
1232b79540
131b153b40
1411651624
15a338c46
hex6ef9ac0

116366016 has 112 divisors (see below), whose sum is σ = 346155264. Its totient is φ = 34231296.

The previous prime is 116365981. The next prime is 116366021. The reversal of 116366016 is 610663611.

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, 56395 + ... + 58421.

It is an arithmetic number, because the mean of its divisors is an integer number (3090672).

Almost surely, 2116366016 is an apocalyptic number.

116366016 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 116366016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173077632).

116366016 is an abundant number, since it is smaller than the sum of its proper divisors (229789248).

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

116366016 is a wasteful number, since it uses less digits than its factorization.

116366016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 116366016 is about 10787.3080979455. The cubic root of 116366016 is about 488.2123057233.

The spelling of 116366016 in words is "one hundred sixteen million, three hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2027 2208 2392 2496 3588 4054 4416 4784 6081 7176 8108 9568 12162 14352 16216 19136 24324 26351 28704 32432 46621 48648 52702 57408 64864 79053 93242 97296 105404 129728 139863 158106 186484 194592 210808 279726 316212 372968 389184 421616 559452 606073 632424 745936 843232 1118904 1212146 1264848 1491872 1686464 1818219 2237808 2424292 2529696 2983744 3636438 4475616 4848584 5059392 7272876 8951232 9697168 14545752 19394336 29091504 38788672 58183008 116366016