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12739760 = 2451131467
BaseRepresentation
bin110000100110…
…010010110000
3212222020122222
4300212102300
511230133020
61133020212
7213200105
oct60462260
925866588
1012739760
117211630
124324668
132840927
141998aac
1511b9b25
hexc264b0

12739760 has 80 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 4473600.

The previous prime is 12739721. The next prime is 12739763. The reversal of 12739760 is 6793721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 12739760.

It is not an unprimeable number, because it can be changed into a prime (12739763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27047 + ... + 27513.

Almost surely, 212739760 is an apocalyptic number.

12739760 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 12739760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

12739760 is an abundant number, since it is smaller than the sum of its proper divisors (20686672).

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

12739760 is a wasteful number, since it uses less digits than its factorization.

12739760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 35.

The square root of 12739760 is about 3569.2800394477. The cubic root of 12739760 is about 233.5538776459.

The spelling of 12739760 in words is "twelve million, seven hundred thirty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 467 496 620 682 880 934 1240 1364 1705 1868 2335 2480 2728 3410 3736 4670 5137 5456 6820 7472 9340 10274 13640 14477 18680 20548 25685 27280 28954 37360 41096 51370 57908 72385 82192 102740 115816 144770 159247 205480 231632 289540 318494 410960 579080 636988 796235 1158160 1273976 1592470 2547952 3184940 6369880 12739760