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13991427 = 3329107167
BaseRepresentation
bin110101010111…
…111000000011
3222022211122000
4311113320003
512040211202
61215515043
7226632222
oct65277003
928284560
1013991427
117996a6a
124828a83
132b8b568
141c02cb9
15136591c
hexd57e03

13991427 has 32 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 8868384.

The previous prime is 13991401. The next prime is 13991441. The reversal of 13991427 is 72419931.

It is not a de Polignac number, because 13991427 - 26 = 13991363 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13991391 and 13991400.

It is not an unprimeable number, because it can be changed into a prime (13991827) 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, 83698 + ... + 83864.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 213991427 is an apocalyptic number.

13991427 is a deficient number, since it is larger than the sum of its proper divisors (7781373).

13991427 is a wasteful number, since it uses less digits than its factorization.

13991427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 13991427 is about 3740.5115960253. The cubic root of 13991427 is about 240.9650207780.

The spelling of 13991427 in words is "thirteen million, nine hundred ninety-one thousand, four hundred twenty-seven".

Divisors: 1 3 9 27 29 87 107 167 261 321 501 783 963 1503 2889 3103 4509 4843 9309 14529 17869 27927 43587 53607 83781 130761 160821 482463 518201 1554603 4663809 13991427