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117632116 = 22719415393
BaseRepresentation
bin1110000001011…
…10110001110100
322012100022221001
413000232301310
5220103211431
615401133044
72625566530
oct700566164
9265308831
10117632116
1160444828
123348a184
131b4a8204
14118a0bc0
15a4d8e61
hex702ec74

117632116 has 48 divisors (see below), whose sum is σ = 253733760. Its totient is φ = 46586880.

The previous prime is 117632113. The next prime is 117632153. The reversal of 117632116 is 611236711.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117632113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19116 + ... + 24508.

It is an arithmetic number, because the mean of its divisors is an integer number (5286120).

Almost surely, 2117632116 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 117632116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126866880).

117632116 is an abundant number, since it is smaller than the sum of its proper divisors (136101644).

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

117632116 is a wasteful number, since it uses less digits than its factorization.

117632116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5462 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 117632116 is about 10845.8340389294. The cubic root of 117632116 is about 489.9765586454.

Adding to 117632116 its reverse (611236711), we get a palindrome (728868827).

The spelling of 117632116 in words is "one hundred seventeen million, six hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 164 266 287 532 574 779 1148 1558 3116 5393 5453 10786 10906 21572 21812 37751 75502 102467 151004 204934 221113 409868 442226 717269 884452 1434538 1547791 2869076 3095582 4201147 6191164 8402294 16804588 29408029 58816058 117632116