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117037536 = 25371171223
BaseRepresentation
bin1101111100111…
…01100111100000
322011020010022120
412332131213200
5214430200121
615340304240
72620542210
oct676354740
9264203276
10117037536
1160079040
1233242080
131b32a6a5
1411788240
15a41cbc6
hex6f9d9e0

117037536 has 192 divisors, whose sum is σ = 390168576. Its totient is φ = 29836800.

The previous prime is 117037519. The next prime is 117037541. The reversal of 117037536 is 635730711.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 117037497 and 117037506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524721 + ... + 524943.

It is an arithmetic number, because the mean of its divisors is an integer number (2032128).

Almost surely, 2117037536 is an apocalyptic number.

117037536 is a gapful number since it is divisible by the number (16) 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 117037536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195084288).

117037536 is an abundant number, since it is smaller than the sum of its proper divisors (273131040).

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

117037536 is a wasteful number, since it uses less digits than its factorization.

117037536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 117037536 is about 10818.3887894640. The cubic root of 117037536 is about 489.1496232100.

The spelling of 117037536 in words is "one hundred seventeen million, thirty-seven thousand, five hundred thirty-six".