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117529416 = 23325973379
BaseRepresentation
bin1110000000101…
…01101101001000
322012011010001100
413000111231020
5220041420131
615355021400
72624661234
oct700255510
9265133040
10117529416
1160384654
123343a860
131b470544
14118755c4
15a4b87e6
hex7015b48

117529416 has 96 divisors (see below), whose sum is σ = 329004000. Its totient is φ = 37884672.

The previous prime is 117529403. The next prime is 117529439. The reversal of 117529416 is 614925711.

117529416 is a `hidden beast` number, since 117 + 529 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 309915 + ... + 310293.

It is an arithmetic number, because the mean of its divisors is an integer number (3427125).

Almost surely, 2117529416 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 117529416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164502000).

117529416 is an abundant number, since it is smaller than the sum of its proper divisors (211474584).

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

117529416 is a wasteful number, since it uses less digits than its factorization.

117529416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 516 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 117529416 is about 10841.0984683288. The cubic root of 117529416 is about 489.8339240041.

The spelling of 117529416 in words is "one hundred seventeen million, five hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 73 118 146 177 219 236 292 354 379 438 472 531 584 657 708 758 876 1062 1137 1314 1416 1516 1752 2124 2274 2628 3032 3411 4248 4307 4548 5256 6822 8614 9096 12921 13644 17228 22361 25842 27288 27667 34456 38763 44722 51684 55334 67083 77526 83001 89444 103368 110668 134166 155052 166002 178888 201249 221336 249003 268332 310104 332004 402498 498006 536664 664008 804996 996012 1609992 1632353 1992024 3264706 4897059 6529412 9794118 13058824 14691177 19588236 29382354 39176472 58764708 117529416