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117914928 = 24323292127
BaseRepresentation
bin1110000011100…
…11110100110000
322012212200212120
413001303310300
5220141234203
615411154240
72631155205
oct701636460
9265780776
10117914928
116061825a
12335a5980
131b576b61
1411935cac
15a542b53
hex7073d30

117914928 has 120 divisors (see below), whose sum is σ = 331788288. Its totient is φ = 36013824.

The previous prime is 117914911. The next prime is 117914939. The reversal of 117914928 is 829419711.

It is a self number, because there is not a number n which added to its sum of digits gives 117914928.

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 23 ways as a sum of consecutive naturals, for example, 928401 + ... + 928527.

Almost surely, 2117914928 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 117914928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165894144).

117914928 is an abundant number, since it is smaller than the sum of its proper divisors (213873360).

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

117914928 is a wasteful number, since it uses less digits than its factorization.

117914928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 184 counting only the distinct ones).

The product of its digits is 36288, while the sum is 42.

The square root of 117914928 is about 10858.8640289857. The cubic root of 117914928 is about 490.3689127970.

The spelling of 117914928 in words is "one hundred seventeen million, nine hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 46 48 58 69 87 92 116 127 138 174 184 232 254 276 348 368 381 464 508 552 667 696 762 841 1016 1104 1334 1392 1524 1682 2001 2032 2523 2668 2921 3048 3364 3683 4002 5046 5336 5842 6096 6728 7366 8004 8763 10092 10672 11049 11684 13456 14732 16008 17526 19343 20184 22098 23368 29464 32016 35052 38686 40368 44196 46736 58029 58928 70104 77372 84709 88392 106807 116058 140208 154744 169418 176784 213614 232116 254127 309488 320421 338836 427228 464232 508254 640842 677672 854456 928464 1016508 1281684 1355344 1708912 2033016 2456561 2563368 4066032 4913122 5126736 7369683 9826244 14739366 19652488 29478732 39304976 58957464 117914928