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117660256 = 2573171657
BaseRepresentation
bin1110000001101…
…01101001100000
322012101202112021
413000311221200
5220110112011
615401511224
72626044550
oct700655140
9265352467
10117660256
116046398a
12334a2514
131b4b7c6c
14118ab160
15a4e2471
hex7035a60

117660256 has 48 divisors (see below), whose sum is σ = 265730976. Its totient is φ = 50236416.

The previous prime is 117660227. The next prime is 117660269. The reversal of 117660256 is 652066711.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70180 + ... + 71836.

It is an arithmetic number, because the mean of its divisors is an integer number (5536062).

Almost surely, 2117660256 is an apocalyptic number.

117660256 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 117660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132865488).

117660256 is an abundant number, since it is smaller than the sum of its proper divisors (148070720).

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

117660256 is a wasteful number, since it uses less digits than its factorization.

117660256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 117660256 is about 10847.1312336488. The cubic root of 117660256 is about 490.0156263238.

The spelling of 117660256 in words is "one hundred seventeen million, six hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 317 634 1268 1657 2219 2536 3314 4438 5072 6628 8876 10144 11599 13256 17752 23198 26512 35504 46396 53024 71008 92792 185584 371168 525269 1050538 2101076 3676883 4202152 7353766 8404304 14707532 16808608 29415064 58830128 117660256