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115948800 = 2833521161
BaseRepresentation
bin1101110100100…
…11110100000000
322002011210212000
412322103310000
5214140330200
615301104000
72605356102
oct672236400
9262153760
10115948800
115a4a5060
12329b8000
131b038c76
1411583572
15a2a5300
hex6e93d00

115948800 has 432 divisors, whose sum is σ = 471428160. Its totient is φ = 27648000.

The previous prime is 115948799. The next prime is 115948801. The reversal of 115948800 is 8849511.

It is an interprime number because it is at equal distance from previous prime (115948799) and next prime (115948801).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115948801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900770 + ... + 1900830.

Almost surely, 2115948800 is an apocalyptic number.

115948800 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 115948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235714080).

115948800 is an abundant number, since it is smaller than the sum of its proper divisors (355479360).

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

115948800 is a wasteful number, since it uses less digits than its factorization.

115948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 115948800 is about 10767.9524516038. The cubic root of 115948800 is about 487.6281320000.

The spelling of 115948800 in words is "one hundred fifteen million, nine hundred forty-eight thousand, eight hundred".