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115872768 = 2103411127
BaseRepresentation
bin1101110100000…
…01010000000000
322002000221120000
412322001100000
5214130412033
615255320000
72604621324
oct672012000
9262027500
10115872768
115a452a20
1232980000
131b01048b
1411563984
15a28ca13
hex6e81400

115872768 has 220 divisors, whose sum is σ = 380447232. Its totient is φ = 34836480.

The previous prime is 115872737. The next prime is 115872769. The reversal of 115872768 is 867278511.

It is a happy number.

115872768 is a `hidden beast` number, since 1 + 1 + 587 + 2 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115872769) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 912321 + ... + 912447.

Almost surely, 2115872768 is an apocalyptic number.

115872768 is a gapful number since it is divisible by the number (18) 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 115872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190223616).

115872768 is an abundant number, since it is smaller than the sum of its proper divisors (264574464).

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

115872768 is a wasteful number, since it uses less digits than its factorization.

115872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its digits is 188160, while the sum is 45.

The square root of 115872768 is about 10764.4213964337. The cubic root of 115872768 is about 487.5215233101.

The spelling of 115872768 in words is "one hundred fifteen million, eight hundred seventy-two thousand, seven hundred sixty-eight".