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12782704 = 2411591231
BaseRepresentation
bin110000110000…
…110001110000
3220001102120111
4300300301300
511233021304
61133551104
7213436234
oct60606160
926042514
1012782704
117240920
124345494
13285733c
1419aa5c4
1511c7704
hexc30c70

12782704 has 40 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 5707200.

The previous prime is 12782701. The next prime is 12782713. The reversal of 12782704 is 40728721.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12782701) 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, 9769 + ... + 10999.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 212782704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12782704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

12782704 is an abundant number, since it is smaller than the sum of its proper divisors (14715536).

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

12782704 is a wasteful number, since it uses less digits than its factorization.

12782704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 12782704 is about 3575.2907574070. The cubic root of 12782704 is about 233.8160094587.

The spelling of 12782704 in words is "twelve million, seven hundred eighty-two thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1231 1298 2462 2596 4924 5192 9848 10384 13541 19696 27082 54164 72629 108328 145258 216656 290516 581032 798919 1162064 1597838 3195676 6391352 12782704