Search a number
-
+
115616016 = 24326731193
BaseRepresentation
bin1101110010000…
…10100100010000
322001112220100200
412321002210100
5214044203031
615250015200
72602501635
oct671024420
9261486320
10115616016
115a29802a
1232877500
131ac50659
14114d818c
15a23b8e6
hex6e42910

115616016 has 60 divisors (see below), whose sum is σ = 324316668. Its totient is φ = 38449152.

The previous prime is 115616003. The next prime is 115616021. The reversal of 115616016 is 610616511.

115616016 is a `hidden beast` number, since 1 + 1 + 56 + 1 + 601 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 67174416 = 6960^2 + 8196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96316 + ... + 97508.

Almost surely, 2115616016 is an apocalyptic number.

115616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115616016 is an abundant number, since it is smaller than the sum of its proper divisors (208700652).

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

115616016 is a wasteful number, since it uses less digits than its factorization.

115616016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1871 counting only the distinct ones).

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

The square root of 115616016 is about 10752.4888281737. The cubic root of 115616016 is about 487.1611720535.

The spelling of 115616016 in words is "one hundred fifteen million, six hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 673 1193 1346 2019 2386 2692 3579 4038 4772 5384 6057 7158 8076 9544 10737 10768 12114 14316 16152 19088 21474 24228 28632 32304 42948 48456 57264 85896 96912 171792 802889 1605778 2408667 3211556 4817334 6423112 7226001 9634668 12846224 14452002 19269336 28904004 38538672 57808008 115616016