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115913376 = 25331923307
BaseRepresentation
bin1101110100010…
…11001010100000
322002010000021000
412322023022200
5214133212001
615300232000
72605150605
oct672131240
9262100230
10115913376
115a480487
123299b600
131b025ac7
14115746ac
15a299a86
hex6e8b2a0

115913376 has 192 divisors, whose sum is σ = 372556800. Its totient is φ = 34898688.

The previous prime is 115913363. The next prime is 115913381. The reversal of 115913376 is 673319511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115913376.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377415 + ... + 377721.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 2115913376 is an apocalyptic number.

115913376 is a gapful number since it is divisible by the number (16) 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 115913376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186278400).

115913376 is an abundant number, since it is smaller than the sum of its proper divisors (256643424).

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

115913376 is a wasteful number, since it uses less digits than its factorization.

115913376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 354 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 115913376 is about 10766.3074449878. The cubic root of 115913376 is about 487.5784678425.

It can be divided in two parts, 1159 and 13376, that added together give a triangular number (14535 = T170).

The spelling of 115913376 in words is "one hundred fifteen million, nine hundred thirteen thousand, three hundred seventy-six".