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13144527 = 3211314283
BaseRepresentation
bin110010001001…
…000111001111
3220201210220100
4302021013033
511331111102
61145422143
7216504144
oct62110717
926653810
1013144527
117468750
12449a953
132952c36
141a623cb
151249a1c
hexc891cf

13144527 has 24 divisors (see below), whose sum is σ = 21385728. Its totient is φ = 7707600.

The previous prime is 13144513. The next prime is 13144531. The reversal of 13144527 is 72544131.

13144527 is a `hidden beast` number, since 131 + 4 + 4 + 527 = 666.

13144527 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13144527 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13144527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 213144527 is an apocalyptic number.

13144527 is a deficient number, since it is larger than the sum of its proper divisors (8241201).

13144527 is a wasteful number, since it uses less digits than its factorization.

13144527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4328 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 13144527 is about 3625.5381669485. The cubic root of 13144527 is about 236.0016218887.

Adding to 13144527 its reverse (72544131), we get a palindrome (85688658).

The spelling of 13144527 in words is "thirteen million, one hundred forty-four thousand, five hundred twenty-seven".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 4283 12849 38547 47113 132773 141339 398319 424017 1194957 1460503 4381509 13144527