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115104960 = 26325172351
BaseRepresentation
bin1101101110001…
…01110011000000
322000120221022200
412313011303000
5213431324320
615231033200
72565242655
oct667056300
9260527280
10115104960
1159a79073
123266b800
131ab01b59
1411403c2c
15a18a290
hex6dc5cc0

115104960 has 168 divisors, whose sum is σ = 419380416. Its totient is φ = 28876800.

The previous prime is 115104893. The next prime is 115104961. The reversal of 115104960 is 69401511.

It is not an unprimeable number, because it can be changed into a prime (115104961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47785 + ... + 50135.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2115104960 is an apocalyptic number.

115104960 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 115104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

115104960 is an abundant number, since it is smaller than the sum of its proper divisors (304275456).

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

115104960 is a wasteful number, since it uses less digits than its factorization.

115104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 115104960 is about 10728.6979638724. The cubic root of 115104960 is about 486.4423143878.

The spelling of 115104960 in words is "one hundred fifteen million, one hundred four thousand, nine hundred sixty".