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117018720 = 253257131947
BaseRepresentation
bin1101111100110…
…01000001100000
322011012011111200
412332121001200
5214424044340
615340041200
72620433310
oct676310140
9264164450
10117018720
1160065995
1233233200
131b321c60
1411781440
15a417330
hex6f99060

117018720 has 576 divisors, whose sum is σ = 528353280. Its totient is φ = 22892544.

The previous prime is 117018719. The next prime is 117018743. The reversal of 117018720 is 27810711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489737 + ... + 2489783.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 2117018720 is an apocalyptic number.

117018720 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 117018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

117018720 is an abundant number, since it is smaller than the sum of its proper divisors (411334560).

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

117018720 is a wasteful number, since it uses less digits than its factorization.

117018720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 117018720 is about 10817.5191240876. The cubic root of 117018720 is about 489.1234084504.

It can be divided in two parts, 1170 and 18720, that multiplied together give a square (21902400 = 46802).

The spelling of 117018720 in words is "one hundred seventeen million, eighteen thousand, seven hundred twenty".