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12739392 = 2632171301
BaseRepresentation
bin110000100110…
…001101000000
3212222020011100
4300212031000
511230130032
61133014400
7213166041
oct60461500
925866140
1012739392
117211326
124324400
132840703
1419988c8
1511b997c
hexc26340

12739392 has 84 divisors (see below), whose sum is σ = 38692836. Its totient is φ = 3993600.

The previous prime is 12739387. The next prime is 12739393. The reversal of 12739392 is 29393721.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 9144576 = 1896^2 + 3024^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12739393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9142 + ... + 10442.

It is an arithmetic number, because the mean of its divisors is an integer number (460629).

Almost surely, 212739392 is an apocalyptic number.

12739392 is a gapful number since it is divisible by the number (12) 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 12739392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346418).

12739392 is an abundant number, since it is smaller than the sum of its proper divisors (25953444).

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

12739392 is a wasteful number, since it uses less digits than its factorization.

12739392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1323 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 12739392 is about 3569.2284880629. The cubic root of 12739392 is about 233.5516288161.

It can be divided in two parts, 12739 and 392, that added together give a palindrome (13131).

The spelling of 12739392 in words is "twelve million, seven hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1301 1632 2448 2602 3264 3903 4896 5204 7806 9792 10408 11709 15612 20816 22117 23418 31224 41632 44234 46836 62448 66351 83264 88468 93672 124896 132702 176936 187344 199053 249792 265404 353872 374688 398106 530808 707744 749376 796212 1061616 1415488 1592424 2123232 3184848 4246464 6369696 12739392