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12743936 = 2867743
BaseRepresentation
bin110000100111…
…010100000000
3212222110101122
4300213110000
511230301221
61133051412
7213215222
oct60472400
925873348
1012743936
117214787
124326b68
1328427ba
14199a412
1511baeab
hexc27500

12743936 has 36 divisors (see below), whose sum is σ = 25852512. Its totient is φ = 6268416.

The previous prime is 12743933. The next prime is 12743977. The reversal of 12743936 is 63934721.

It is a junction number, because it is equal to n+sod(n) for n = 12743896 and 12743905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16781 + ... + 17523.

Almost surely, 212743936 is an apocalyptic number.

12743936 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 12743936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12926256).

12743936 is an abundant number, since it is smaller than the sum of its proper divisors (13108576).

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

12743936 is an frugal number, since it uses more digits than its factorization.

12743936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 812 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 12743936 is about 3569.8649834413. The cubic root of 12743936 is about 233.5793939414.

The spelling of 12743936 in words is "twelve million, seven hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 67 128 134 256 268 536 743 1072 1486 2144 2972 4288 5944 8576 11888 17152 23776 47552 49781 95104 99562 190208 199124 398248 796496 1592992 3185984 6371968 12743936