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117071136 = 25337131489
BaseRepresentation
bin1101111101001…
…01110100100000
322011021211102000
412332211310200
5214432234021
615341124000
72621042160
oct676456440
9264254360
10117071136
11600a1306
1233259600
131b33ca80
14117965a0
15a427b26
hex6fa5d20

117071136 has 192 divisors, whose sum is σ = 420537600. Its totient is φ = 30855168.

The previous prime is 117071099. The next prime is 117071147. The reversal of 117071136 is 631170711.

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

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, 77880 + ... + 79368.

It is an arithmetic number, because the mean of its divisors is an integer number (2190300).

Almost surely, 2117071136 is an apocalyptic number.

117071136 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 117071136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210268800).

117071136 is an abundant number, since it is smaller than the sum of its proper divisors (303466464).

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

117071136 is a wasteful number, since it uses less digits than its factorization.

117071136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 117071136 is about 10819.9415894911. The cubic root of 117071136 is about 489.1964282930.

The spelling of 117071136 in words is "one hundred seventeen million, seventy-one thousand, one hundred thirty-six".