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12987135 = 3657509
BaseRepresentation
bin110001100010…
…101011111111
3220102211000000
4301202223333
511311042020
61142205343
7215250240
oct61425377
926384000
1012987135
117370477
124423853
1328c93c5
141a20cc7
151218090
hexc62aff

12987135 has 56 divisors (see below), whose sum is σ = 26756640. Its totient is φ = 5925312.

The previous prime is 12987103. The next prime is 12987137. The reversal of 12987135 is 53178921.

It is not a de Polignac number, because 12987135 - 25 = 12987103 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12987135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12987137) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25261 + ... + 25769.

Almost surely, 212987135 is an apocalyptic number.

12987135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12987135 is an abundant number, since it is smaller than the sum of its proper divisors (13769505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12987135 is an frugal number, since it uses more digits than its factorization.

12987135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 12987135 is about 3603.7667793574. The cubic root of 12987135 is about 235.0558792725.

The spelling of 12987135 in words is "twelve million, nine hundred eighty-seven thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 509 567 729 945 1215 1527 1701 2545 2835 3563 3645 4581 5103 7635 8505 10689 13743 17815 22905 25515 32067 41229 53445 68715 96201 123687 160335 206145 288603 371061 481005 618435 865809 1443015 1855305 2597427 4329045 12987135