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117739440 = 24335713599
BaseRepresentation
bin1110000010010…
…00111110110000
322012112210011000
413001020332300
5220120130230
615403322000
72626524450
oct701107660
9265483130
10117739440
1160508425
1233520300
131b515010
14118cbd60
15a50ab60
hex7048fb0

117739440 has 320 divisors, whose sum is σ = 499968000. Its totient is φ = 24800256.

The previous prime is 117739421. The next prime is 117739451. The reversal of 117739440 is 44937711.

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

It is a junction number, because it is equal to n+sod(n) for n = 117739395 and 117739404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196261 + ... + 196859.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2117739440 is an apocalyptic number.

117739440 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 117739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

117739440 is an abundant number, since it is smaller than the sum of its proper divisors (382228560).

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

117739440 is a wasteful number, since it uses less digits than its factorization.

117739440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 117739440 is about 10850.7806170800. The cubic root of 117739440 is about 490.1255266352.

The spelling of 117739440 in words is "one hundred seventeen million, seven hundred thirty-nine thousand, four hundred forty".