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115105896 = 23321739241
BaseRepresentation
bin1101101110001…
…10000001101000
322000120222121100
412313012001220
5213431342041
615231041400
72565245463
oct667060150
9260528540
10115105896
1159a79844
1232670260
131ab023c9
14114042da
15a18a6b6
hex6dc6068

115105896 has 48 divisors (see below), whose sum is σ = 313581060. Its totient is φ = 38142720.

The previous prime is 115105891. The next prime is 115105897. The reversal of 115105896 is 698501511.

115105896 is a `hidden beast` number, since 1 + 1 + 510 + 58 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80460900 + 34644996 = 8970^2 + 5886^2 .

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 115105896.

It is not an unprimeable number, because it can be changed into a prime (115105891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7836 + ... + 17076.

Almost surely, 2115105896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115105896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156790530).

115105896 is an abundant number, since it is smaller than the sum of its proper divisors (198475164).

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

115105896 is a wasteful number, since it uses less digits than its factorization.

115105896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9426 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 115105896 is about 10728.7415851068. The cubic root of 115105896 is about 486.4436329199.

The spelling of 115105896 in words is "one hundred fifteen million, one hundred five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 9241 12456 18482 27723 36964 55446 73928 83169 110892 166338 221784 332676 665352 1598693 3197386 4796079 6394772 9592158 12789544 14388237 19184316 28776474 38368632 57552948 115105896