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116518944 = 25319127503
BaseRepresentation
bin1101111000111…
…11000000100000
322010020202221110
412330133000200
5214312101234
615321223320
72613252243
oct674370040
9263222843
10116518944
115a854453
1233031b40
131b1a8629
141169125a
15a3691e9
hex6f1f020

116518944 has 96 divisors (see below), whose sum is σ = 325140480. Its totient is φ = 36433152.

The previous prime is 116518939. The next prime is 116518991. The reversal of 116518944 is 449815611.

It is a tau number, because it is divible by the number of its divisors (96).

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, 231397 + ... + 231899.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2116518944 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 116518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

116518944 is an abundant number, since it is smaller than the sum of its proper divisors (208621536).

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

116518944 is a wasteful number, since it uses less digits than its factorization.

116518944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 116518944 is about 10794.3941006432. The cubic root of 116518944 is about 488.4260813350.

The spelling of 116518944 in words is "one hundred sixteen million, five hundred eighteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 127 152 228 254 304 381 456 503 508 608 762 912 1006 1016 1509 1524 1824 2012 2032 2413 3018 3048 4024 4064 4826 6036 6096 7239 8048 9557 9652 12072 12192 14478 16096 19114 19304 24144 28671 28956 38228 38608 48288 57342 57912 63881 76456 77216 114684 115824 127762 152912 191643 229368 231648 255524 305824 383286 458736 511048 766572 917472 1022096 1213739 1533144 2044192 2427478 3066288 3641217 4854956 6132576 7282434 9709912 14564868 19419824 29129736 38839648 58259472 116518944