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116824608 = 2532405641
BaseRepresentation
bin1101111011010…
…01101000100000
322010211022020100
412331221220200
5214401341413
615331542400
72615664345
oct675515040
9263738210
10116824608
115aa4306a
123315aa00
131b2847b4
14117307cc
15a3c9a73
hex6f69a20

116824608 has 36 divisors (see below), whose sum is σ = 332220798. Its totient is φ = 38941440.

The previous prime is 116824583. The next prime is 116824619. The reversal of 116824608 is 806428611.

116824608 is a `hidden beast` number, since 116 + 82 + 460 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76527504 + 40297104 = 8748^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 5 ways as a sum of consecutive naturals, for example, 202533 + ... + 203108.

Almost surely, 2116824608 is an apocalyptic number.

116824608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

116824608 is an abundant number, since it is smaller than the sum of its proper divisors (215396190).

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

116824608 is a wasteful number, since it uses less digits than its factorization.

116824608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405657 (or 405646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 116824608 is about 10808.5432876036. The cubic root of 116824608 is about 488.8528042543.

It can be divided in two parts, 11682 and 4608, that added together give a triangular number (16290 = T180).

The spelling of 116824608 in words is "one hundred sixteen million, eight hundred twenty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 405641 811282 1216923 1622564 2433846 3245128 3650769 4867692 6490256 7301538 9735384 12980512 14603076 19470768 29206152 38941536 58412304 116824608