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13307827 = 133773379
BaseRepresentation
bin110010110000…
…111110110011
3221001002220111
4302300332303
511401322302
61153122151
7221054221
oct62607663
927032814
1013307827
11756a405
124559357
1329ac370
141aa5b11
15127d0d7
hexcb0fb3

13307827 has 16 divisors (see below), whose sum is σ = 14959840. Its totient is φ = 11757312.

The previous prime is 13307813. The next prime is 13307843. The reversal of 13307827 is 72870331.

13307827 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a 8-Lehmer number, since φ(13307827) divides (13307827-1)8.

It is a cyclic number.

It is not a de Polignac number, because 13307827 - 211 = 13305779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13307807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34924 + ... + 35302.

It is an arithmetic number, because the mean of its divisors is an integer number (934990).

Almost surely, 213307827 is an apocalyptic number.

13307827 is a deficient number, since it is larger than the sum of its proper divisors (1652013).

13307827 is a wasteful number, since it uses less digits than its factorization.

13307827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502.

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 13307827 is about 3647.9894462567. The cubic root of 13307827 is about 236.9749182689.

The spelling of 13307827 in words is "thirteen million, three hundred seven thousand, eight hundred twenty-seven".

Divisors: 1 13 37 73 379 481 949 2701 4927 14023 27667 35113 182299 359671 1023679 13307827