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12739936 = 2511172129
BaseRepresentation
bin110000100110…
…010101100000
3212222020220111
4300212111200
511230134221
61133021104
7213200446
oct60462540
925866814
1012739936
117211780
124324794
132840a31
141998b96
1511b9be1
hexc26560

12739936 has 48 divisors (see below), whose sum is σ = 28985040. Its totient is φ = 5447680.

The previous prime is 12739931. The next prime is 12739939. The reversal of 12739936 is 63993721.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12739931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4920 + ... + 7048.

It is an arithmetic number, because the mean of its divisors is an integer number (603855).

Almost surely, 212739936 is an apocalyptic number.

12739936 is a gapful number since it is divisible by the number (16) 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 12739936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492520).

12739936 is an abundant number, since it is smaller than the sum of its proper divisors (16245104).

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

12739936 is a wasteful number, since it uses less digits than its factorization.

12739936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2159 counting only the distinct ones).

The product of its digits is 61236, while the sum is 40.

The square root of 12739936 is about 3569.3046941947. The cubic root of 12739936 is about 233.5549531578.

The spelling of 12739936 in words is "twelve million, seven hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2129 2992 4258 5984 8516 17032 23419 34064 36193 46838 68128 72386 93676 144772 187352 289544 374704 398123 579088 749408 796246 1158176 1592492 3184984 6369968 12739936