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115867664 = 2411297617
BaseRepresentation
bin1101110100000…
…00000000010000
322002000200112222
412322000000100
5214130231124
615255240212
72604600413
oct672000020
9262020488
10115867664
115a44a100
1232979068
131b00b063
1411561b7a
15a28b25e
hex6e80010

115867664 has 60 divisors (see below), whose sum is σ = 249705372. Its totient is φ = 52039680.

The previous prime is 115867663. The next prime is 115867691. The reversal of 115867664 is 466768511.

It can be written as a sum of positive squares in 2 ways, for example, as 22165264 + 93702400 = 4708^2 + 9680^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115867663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187484 + ... + 188100.

Almost surely, 2115867664 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 115867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124852686).

115867664 is an abundant number, since it is smaller than the sum of its proper divisors (133837708).

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

115867664 is a wasteful number, since it uses less digits than its factorization.

115867664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 727 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 115867664 is about 10764.1843165193. The cubic root of 115867664 is about 487.5143650380.

The spelling of 115867664 in words is "one hundred fifteen million, eight hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 121 176 194 242 388 484 617 776 968 1067 1234 1552 1936 2134 2468 4268 4936 6787 8536 9872 11737 13574 17072 23474 27148 46948 54296 59849 74657 93896 108592 119698 149314 187792 239396 298628 478792 597256 658339 957584 1194512 1316678 2633356 5266712 7241729 10533424 14483458 28966916 57933832 115867664