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115057728 = 2632199753
BaseRepresentation
bin1101101101110…
…10010001000000
322000111112112100
412312322101000
5213423321403
615230030400
72564655162
oct666722100
9260445470
10115057728
1159a46635
1232648400
131aab64c6
14113d0932
15a17b2a3
hex6dba440

115057728 has 42 divisors (see below), whose sum is σ = 329793854. Its totient is φ = 38352384.

The previous prime is 115057721. The next prime is 115057741. The reversal of 115057728 is 827750511.

115057728 is a `hidden beast` number, since 11 + 50 + 577 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105021504 + 10036224 = 10248^2 + 3168^2 .

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 = 115057692 and 115057701.

It is not an unprimeable number, because it can be changed into a prime (115057721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 99301 + ... + 100452.

Almost surely, 2115057728 is an apocalyptic number.

115057728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

115057728 is an abundant number, since it is smaller than the sum of its proper divisors (214736126).

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

115057728 is a wasteful number, since it uses less digits than its factorization.

115057728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199771 (or 199758 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 115057728 is about 10726.4965389450. The cubic root of 115057728 is about 486.3757699437.

The spelling of 115057728 in words is "one hundred fifteen million, fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 199753 399506 599259 799012 1198518 1598024 1797777 2397036 3196048 3595554 4794072 6392096 7191108 9588144 12784192 14382216 19176288 28764432 38352576 57528864 115057728