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117586872 = 233213125627
BaseRepresentation
bin1110000001000…
…11101110111000
322012021000212100
413000203232320
5220100234442
615400143400
72625320604
oct700435670
9265230770
10117586872
1160413837
1233467b60
131b490740
141188c504
15a4ca84c
hex7023bb8

117586872 has 48 divisors (see below), whose sum is σ = 342964440. Its totient is φ = 36180288.

The previous prime is 117586853. The next prime is 117586873. The reversal of 117586872 is 278685711.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117586873) 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 11 ways as a sum of consecutive naturals, for example, 61878 + ... + 63749.

Almost surely, 2117586872 is an apocalyptic number.

117586872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

117586872 is an abundant number, since it is smaller than the sum of its proper divisors (225377568).

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

117586872 is a wasteful number, since it uses less digits than its factorization.

117586872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125652 (or 125645 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 117586872 is about 10843.7480605186. The cubic root of 117586872 is about 489.9137318626.

The spelling of 117586872 in words is "one hundred seventeen million, five hundred eighty-six thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 125627 251254 376881 502508 753762 1005016 1130643 1507524 1633151 2261286 3015048 3266302 4522572 4899453 6532604 9045144 9798906 13065208 14698359 19597812 29396718 39195624 58793436 117586872