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115378560 = 2733511607
BaseRepresentation
bin1101110000010…
…00100110000000
322001002211122000
412320020212000
5214014103220
615240544000
72600462433
oct670104600
9261084560
10115378560
115a145690
1232782000
131ab9954b
141147581a
15a1e1390
hex6e08980

115378560 has 256 divisors, whose sum is σ = 446515200. Its totient is φ = 27924480.

The previous prime is 115378531. The next prime is 115378657. The reversal of 115378560 is 65873511.

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

It is a congruent number.

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, 189777 + ... + 190383.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 2115378560 is an apocalyptic number.

115378560 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 115378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

115378560 is an abundant number, since it is smaller than the sum of its proper divisors (331136640).

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

115378560 is a wasteful number, since it uses less digits than its factorization.

115378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 115378560 is about 10741.4412440789. The cubic root of 115378560 is about 486.8274275513.

The spelling of 115378560 in words is "one hundred fifteen million, three hundred seventy-eight thousand, five hundred sixty".