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117976014 = 2351371263
BaseRepresentation
bin1110000100000…
…10101111001110
322012222210200000
413002002233032
5220200213024
615412345130
72631531252
oct702025716
9265883600
10117976014
116065a142
12336151a6
131b5988c0
1411950262
15a555cc9
hex7082bce

117976014 has 96 divisors (see below), whose sum is σ = 290594304. Its totient is φ = 35652960.

The previous prime is 117975967. The next prime is 117976021. The reversal of 117976014 is 410679711.

It is a self number, because there is not a number n which added to its sum of digits gives 117976014.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 448447 + ... + 448709.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2117976014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117976014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145297152).

117976014 is an abundant number, since it is smaller than the sum of its proper divisors (172618290).

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

117976014 is a wasteful number, since it uses less digits than its factorization.

117976014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The square root of 117976014 is about 10861.6763899501. The cubic root of 117976014 is about 490.4535769548.

The spelling of 117976014 in words is "one hundred seventeen million, nine hundred seventy-six thousand, fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 71 78 81 117 142 162 213 234 243 263 351 426 486 526 639 702 789 923 1053 1278 1578 1846 1917 2106 2367 2769 3159 3419 3834 4734 5538 5751 6318 6838 7101 8307 10257 11502 14202 16614 17253 18673 20514 21303 24921 30771 34506 37346 42606 49842 56019 61542 63909 74763 92313 112038 127818 149526 168057 184626 224289 242749 276939 336114 448578 485498 504171 553878 728247 830817 1008342 1456494 1512513 1661634 2184741 3025026 4369482 4537539 6554223 9075078 13108446 19662669 39325338 58988007 117976014