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12897720 = 23325113257
BaseRepresentation
bin110001001100…
…110110111000
3220021021100100
4301030312320
511300211340
61140235400
7214425453
oct61146670
926237310
1012897720
11730a280
12439bb60
1328977b4
1419da49a
1511eb830
hexc4cdb8

12897720 has 96 divisors (see below), whose sum is σ = 45742320. Its totient is φ = 3125760.

The previous prime is 12897697. The next prime is 12897761. The reversal of 12897720 is 2779821.

12897720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332 + ... + 5588.

Almost surely, 212897720 is an apocalyptic number.

12897720 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 12897720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22871160).

12897720 is an abundant number, since it is smaller than the sum of its proper divisors (32844600).

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

12897720 is a wasteful number, since it uses less digits than its factorization.

12897720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 12897720 is about 3591.3395829412. The cubic root of 12897720 is about 234.5151918606.

It can be divided in two parts, 1289 and 7720, that added together give a palindrome (9009).

The spelling of 12897720 in words is "twelve million, eight hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3257 3960 6514 9771 13028 16285 19542 26056 29313 32570 35827 39084 48855 58626 65140 71654 78168 97710 107481 117252 130280 143308 146565 179135 195420 214962 234504 286616 293130 322443 358270 390840 429924 537405 586260 644886 716540 859848 1074810 1172520 1289772 1433080 1612215 2149620 2579544 3224430 4299240 6448860 12897720