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117642976 = 25112231321
BaseRepresentation
bin1110000001100…
…01011011100000
322012100212211021
413000301123200
5220104033401
615401255224
72625643303
oct700613340
9265325737
10117642976
1160451a00
1233494514
131b4b0139
14118a4b3a
15a4dc2a1
hex70316e0

117642976 has 72 divisors (see below), whose sum is σ = 265848912. Its totient is φ = 51110400.

The previous prime is 117642911. The next prime is 117642979. The reversal of 117642976 is 679246711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117642979) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 88396 + ... + 89716.

It is an arithmetic number, because the mean of its divisors is an integer number (3692346).

Almost surely, 2117642976 is an apocalyptic number.

117642976 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 117642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132924456).

117642976 is an abundant number, since it is smaller than the sum of its proper divisors (148205936).

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

117642976 is a wasteful number, since it uses less digits than its factorization.

117642976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1357 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 117642976 is about 10846.3346804347. The cubic root of 117642976 is about 489.9916366752.

The spelling of 117642976 in words is "one hundred seventeen million, six hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 121 176 184 242 253 352 368 484 506 736 968 1012 1321 1936 2024 2642 2783 3872 4048 5284 5566 8096 10568 11132 14531 21136 22264 29062 30383 42272 44528 58124 60766 89056 116248 121532 159841 232496 243064 319682 334213 464992 486128 639364 668426 972256 1278728 1336852 2557456 2673704 3676343 5114912 5347408 7352686 10694816 14705372 29410744 58821488 117642976