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117037872 = 2434721997
BaseRepresentation
bin1101111100111…
…01101100110000
322011020010210000
412332131230300
5214430202442
615340310000
72620543200
oct676355460
9264203700
10117037872
1160079316
1233242300
131b32a8a3
1411788400
15a41cd4c
hex6f9db30

117037872 has 300 divisors, whose sum is σ = 419061720. Its totient is φ = 31352832.

The previous prime is 117037871. The next prime is 117037883. The reversal of 117037872 is 278730711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117037871) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1206528 + ... + 1206624.

Almost surely, 2117037872 is an apocalyptic number.

117037872 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 117037872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209530860).

117037872 is an abundant number, since it is smaller than the sum of its proper divisors (302023848).

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

117037872 is a wasteful number, since it uses less digits than its factorization.

117037872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 117037872 is about 10818.4043185675. The cubic root of 117037872 is about 489.1500913051.

The spelling of 117037872 in words is "one hundred seventeen million, thirty-seven thousand, eight hundred seventy-two".