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117157032 = 233223263269
BaseRepresentation
bin1101111101110…
…10110010101000
322011110012020100
412332322302220
5214443011112
615343025400
72621550456
oct676726250
9264405210
10117157032
116014a8a3
123329b260
131b36cbb5
14117b99d6
15a4432dc
hex6fbaca8

117157032 has 96 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 37074048.

The previous prime is 117157031. The next prime is 117157093. The reversal of 117157032 is 230751711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 117156987 and 117157005.

It is not an unprimeable number, because it can be changed into a prime (117157031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435394 + ... + 435662.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2117157032 is an apocalyptic number.

117157032 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 117157032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

117157032 is an abundant number, since it is smaller than the sum of its proper divisors (216433368).

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

117157032 is a wasteful number, since it uses less digits than its factorization.

117157032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

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

The square root of 117157032 is about 10823.9101991840. The cubic root of 117157032 is about 489.3160414480.

The spelling of 117157032 in words is "one hundred seventeen million, one hundred fifty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 263 269 276 414 526 538 552 789 807 828 1052 1076 1578 1614 1656 2104 2152 2367 2421 3156 3228 4734 4842 6049 6187 6312 6456 9468 9684 12098 12374 18147 18561 18936 19368 24196 24748 36294 37122 48392 49496 54441 55683 70747 72588 74244 108882 111366 141494 145176 148488 212241 217764 222732 282988 424482 435528 445464 565976 636723 848964 1273446 1627181 1697928 2546892 3254362 4881543 5093784 6508724 9763086 13017448 14644629 19526172 29289258 39052344 58578516 117157032