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117715032 = 2335193187
BaseRepresentation
bin1110000010000…
…11000001011000
322012111112200000
413001003001120
5220113340112
615403013000
72626363341
oct701030130
9265445600
10117715032
11604a1056
123350a160
131b506b86
14118c30c8
15a5037dc
hex7043058

117715032 has 96 divisors (see below), whose sum is σ = 348129600. Its totient is φ = 37161504.

The previous prime is 117715027. The next prime is 117715043. The reversal of 117715032 is 230517711.

It is a happy number.

It is a super-2 number, since 2×1177150322 = 27713657517522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117714987 and 117715005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35343 + ... + 38529.

It is an arithmetic number, because the mean of its divisors is an integer number (3626350).

Almost surely, 2117715032 is an apocalyptic number.

117715032 is a gapful number since it is divisible by the number (12) 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 117715032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174064800).

117715032 is an abundant number, since it is smaller than the sum of its proper divisors (230414568).

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

117715032 is a wasteful number, since it uses less digits than its factorization.

117715032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 117715032 is about 10849.6558470764. The cubic root of 117715032 is about 490.0916557685.

The spelling of 117715032 in words is "one hundred seventeen million, seven hundred fifteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 3187 4104 4617 6156 6374 9234 9561 12312 12748 18468 19122 25496 28683 36936 38244 57366 60553 76488 86049 114732 121106 172098 181659 229464 242212 258147 344196 363318 484424 516294 544977 688392 726636 774441 1032588 1089954 1453272 1548882 1634931 2065176 2179908 3097764 3269862 4359816 4904793 6195528 6539724 9809586 13079448 14714379 19619172 29428758 39238344 58857516 117715032