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12897240 = 2335313467
BaseRepresentation
bin110001001100…
…101111011000
3220021020200120
4301030233120
511300202430
61140233240
7214424166
oct61145730
926236616
1012897240
117309984
12439b820
132897505
1419da236
1511eb610
hexc4cbd8

12897240 has 64 divisors (see below), whose sum is σ = 39951360. Its totient is φ = 3327360.

The previous prime is 12897197. The next prime is 12897251. The reversal of 12897240 is 4279821.

It is a happy number.

12897240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1987 + ... + 5453.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 212897240 is an apocalyptic number.

12897240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12897240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19975680).

12897240 is an abundant number, since it is smaller than the sum of its proper divisors (27054120).

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

12897240 is a wasteful number, since it uses less digits than its factorization.

12897240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 12897240 is about 3591.2727548879. The cubic root of 12897240 is about 234.5122825947.

The spelling of 12897240 in words is "twelve million, eight hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3467 3720 6934 10401 13868 17335 20802 27736 34670 41604 52005 69340 83208 104010 107477 138680 208020 214954 322431 416040 429908 537385 644862 859816 1074770 1289724 1612155 2149540 2579448 3224310 4299080 6448620 12897240