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116955936 = 2532596883
BaseRepresentation
bin1101111100010…
…01101100100000
322011001222101100
412332021230200
5214420042221
615334434400
72620052256
oct676115440
9264058340
10116955936
11600227a9
1233202a00
131b2cc4c6
14117665d6
15a403926
hex6f89b20

116955936 has 72 divisors (see below), whose sum is σ = 338279760. Its totient is φ = 38318976.

The previous prime is 116955929. The next prime is 116955953. The reversal of 116955936 is 639559611.

116955936 is a `hidden beast` number, since 1 + 1 + 69 + 559 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 116955891 and 116955900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13551 + ... + 20433.

It is an arithmetic number, because the mean of its divisors is an integer number (4698330).

Almost surely, 2116955936 is an apocalyptic number.

116955936 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 116955936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169139880).

116955936 is an abundant number, since it is smaller than the sum of its proper divisors (221323824).

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

116955936 is a wasteful number, since it uses less digits than its factorization.

116955936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6947 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 116955936 is about 10814.6167754572. The cubic root of 116955936 is about 489.0359164155.

The spelling of 116955936 in words is "one hundred sixteen million, nine hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 6883 8496 13766 16992 20649 27532 41298 55064 61947 82596 110128 123894 165192 220256 247788 330384 406097 495576 660768 812194 991152 1218291 1624388 1982304 2436582 3248776 3654873 4873164 6497552 7309746 9746328 12995104 14619492 19492656 29238984 38985312 58477968 116955936