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117813960 = 233351147211
BaseRepresentation
bin1110000010110…
…11001011001000
322012200120101000
413001123023020
5220130021320
615405055000
72630254635
oct701331310
9265616330
10117813960
1160559410
1233557460
131b53cc04
141190b18c
15a522c90
hex705b2c8

117813960 has 256 divisors, whose sum is σ = 439603200. Its totient is φ = 27820800.

The previous prime is 117813931. The next prime is 117813967. The reversal of 117813960 is 69318711.

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 (117813967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558255 + ... + 558465.

It is an arithmetic number, because the mean of its divisors is an integer number (1717200).

Almost surely, 2117813960 is an apocalyptic number.

117813960 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 117813960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219801600).

117813960 is an abundant number, since it is smaller than the sum of its proper divisors (321789240).

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

117813960 is a wasteful number, since it uses less digits than its factorization.

117813960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 117813960 is about 10854.2139282400. The cubic root of 117813960 is about 490.2289087341.

The spelling of 117813960 in words is "one hundred seventeen million, eight hundred thirteen thousand, nine hundred sixty".