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117715680 = 2534531293
BaseRepresentation
bin1110000010000…
…11001011100000
322012111120120000
413001003023200
5220113400210
615403020000
72626365255
oct701031340
9265446500
10117715680
11604a1595
123350a600
131b507264
14118c342c
15a503ac0
hex70432e0

117715680 has 240 divisors, whose sum is σ = 430303104. Its totient is φ = 30274560.

The previous prime is 117715673. The next prime is 117715681. The reversal of 117715680 is 86517711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117715681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401614 + ... + 401906.

Almost surely, 2117715680 is an apocalyptic number.

117715680 is a gapful number since it is divisible by the number (10) 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 117715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151552).

117715680 is an abundant number, since it is smaller than the sum of its proper divisors (312587424).

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

117715680 is a wasteful number, since it uses less digits than its factorization.

117715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 117715680 is about 10849.6857097337. The cubic root of 117715680 is about 490.0925550556.

It can be divided in two parts, 1 and 17715680, that added together give a square (17715681 = 42092).

The spelling of 117715680 in words is "one hundred seventeen million, seven hundred fifteen thousand, six hundred eighty".