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13830713 = 1361107163
BaseRepresentation
bin110100110000…
…101000111001
3222000200011122
4310300220321
512020040323
61212235025
7225362531
oct64605071
928020148
1013830713
117897246
12476ba75
132b33370
141ba04c1
151332ec8
hexd30a39

13830713 has 16 divisors (see below), whose sum is σ = 15374016. Its totient is φ = 12363840.

The previous prime is 13830703. The next prime is 13830757. The reversal of 13830713 is 31703831.

It is a cyclic number.

It is not a de Polignac number, because 13830713 - 24 = 13830697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13830703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84770 + ... + 84932.

It is an arithmetic number, because the mean of its divisors is an integer number (960876).

Almost surely, 213830713 is an apocalyptic number.

13830713 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13830713 is a deficient number, since it is larger than the sum of its proper divisors (1543303).

13830713 is a wasteful number, since it uses less digits than its factorization.

13830713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13830713 is about 3718.9666575542. The cubic root of 13830713 is about 240.0388420930.

The spelling of 13830713 in words is "thirteen million, eight hundred thirty thousand, seven hundred thirteen".

Divisors: 1 13 61 107 163 793 1391 2119 6527 9943 17441 84851 129259 226733 1063901 13830713