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115660413 = 33111512579
BaseRepresentation
bin1101110010011…
…01011001111101
322001122011021000
412321031121331
5214102113123
615251000513
72603045241
oct671153175
9261564230
10115660413
115a318420
1232899139
131ac6791b
141150a421
15a249b43
hex6e4d67d

115660413 has 32 divisors (see below), whose sum is σ = 188236800. Its totient is φ = 69606000.

The previous prime is 115660403. The next prime is 115660423. The reversal of 115660413 is 314066511.

115660413 is a `hidden beast` number, since 1 + 1 + 56 + 604 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (115660403) and next prime (115660423).

It is not a de Polignac number, because 115660413 - 217 = 115529341 is a prime.

It is a super-2 number, since 2×1156604132 = 26754662270661138, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115660403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43558 + ... + 46136.

It is an arithmetic number, because the mean of its divisors is an integer number (5882400).

Almost surely, 2115660413 is an apocalyptic number.

It is an amenable number.

115660413 is a deficient number, since it is larger than the sum of its proper divisors (72576387).

115660413 is a wasteful number, since it uses less digits than its factorization.

115660413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2744 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115660413 is about 10754.5531287915. The cubic root of 115660413 is about 487.2235213352.

The spelling of 115660413 in words is "one hundred fifteen million, six hundred sixty thousand, four hundred thirteen".

Divisors: 1 3 9 11 27 33 99 151 297 453 1359 1661 2579 4077 4983 7737 14949 23211 28369 44847 69633 85107 255321 389429 765963 1168287 3504861 4283719 10514583 12851157 38553471 115660413