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13830615 = 335531933
BaseRepresentation
bin110100110000…
…100111010111
3222000200001000
4310300213113
512020034430
61212234343
7225362331
oct64604727
928020030
1013830615
117897167
12476b9b3
132b332c6
141ba0451
151332e60
hexd309d7

13830615 has 32 divisors (see below), whose sum is σ = 25064640. Its totient is φ = 7233408.

The previous prime is 13830611. The next prime is 13830617. The reversal of 13830615 is 51603831.

13830615 is a `hidden beast` number, since 13 + 8 + 30 + 615 = 666.

It is not a de Polignac number, because 13830615 - 22 = 13830611 is a prime.

It is a super-2 number, since 2×138306152 = 382571822556450, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13830611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189 + ... + 8121.

It is an arithmetic number, because the mean of its divisors is an integer number (783270).

Almost surely, 213830615 is an apocalyptic number.

13830615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13830615 is a deficient number, since it is larger than the sum of its proper divisors (11234025).

13830615 is a wasteful number, since it uses less digits than its factorization.

13830615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).

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

The square root of 13830615 is about 3718.9534818279. The cubic root of 13830615 is about 240.0382751456.

The spelling of 13830615 in words is "thirteen million, eight hundred thirty thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 477 795 1431 1933 2385 5799 7155 9665 17397 28995 52191 86985 102449 260955 307347 512245 922041 1536735 2766123 4610205 13830615