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117530532 = 223272711721
BaseRepresentation
bin1110000000101…
…01111110100100
322012011011120200
413000111332210
5220041434112
615355030500
72624664420
oct700257644
9265134520
10117530532
1160385479
123343b430
131b470bc2
1411875b80
15a4b8cdc
hex7015fa4

117530532 has 72 divisors (see below), whose sum is σ = 340983552. Its totient is φ = 33436800.

The previous prime is 117530531. The next prime is 117530557. The reversal of 117530532 is 235035711.

It is a junction number, because it is equal to n+sod(n) for n = 117530496 and 117530505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117530531) by changing a digit.

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, 67432 + ... + 69152.

Almost surely, 2117530532 is an apocalyptic number.

117530532 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 117530532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170491776).

117530532 is an abundant number, since it is smaller than the sum of its proper divisors (223453020).

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

117530532 is a wasteful number, since it uses less digits than its factorization.

117530532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 117530532 is about 10841.1499390055. The cubic root of 117530532 is about 489.8354744044.

The spelling of 117530532 in words is "one hundred seventeen million, five hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 271 542 813 1084 1626 1721 1897 2439 3252 3442 3794 4878 5163 5691 6884 7588 9756 10326 11382 12047 15489 17073 20652 22764 24094 30978 34146 36141 48188 61956 68292 72282 108423 144564 216846 433692 466391 932782 1399173 1865564 2798346 3264737 4197519 5596692 6529474 8395038 9794211 13058948 16790076 19588422 29382633 39176844 58765266 117530532