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12896632 = 237412137
BaseRepresentation
bin110001001100…
…100101111000
3220021012212001
4301030211320
511300143012
61140230344
7214422340
oct61144570
926235761
1012896632
117309481
12439b3b4
132897158
1419d9d20
1511eb357
hexc4c978

12896632 has 48 divisors (see below), whose sum is σ = 28532880. Its totient is φ = 5352960.

The previous prime is 12896621. The next prime is 12896647. The reversal of 12896632 is 23669821.

It is a junction number, because it is equal to n+sod(n) for n = 12896591 and 12896600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94068 + ... + 94204.

It is an arithmetic number, because the mean of its divisors is an integer number (594435).

Almost surely, 212896632 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 12896632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266440).

12896632 is an abundant number, since it is smaller than the sum of its proper divisors (15636248).

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

12896632 is a wasteful number, since it uses less digits than its factorization.

12896632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 187 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 12896632 is about 3591.1881042351. The cubic root of 12896632 is about 234.5085974211.

It can be divided in two parts, 1289 and 6632, that added together give a square (7921 = 892).

The spelling of 12896632 in words is "twelve million, eight hundred ninety-six thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 41 56 82 137 164 274 287 328 548 574 959 1096 1148 1681 1918 2296 3362 3836 5617 6724 7672 11234 11767 13448 22468 23534 39319 44936 47068 78638 94136 157276 230297 314552 460594 921188 1612079 1842376 3224158 6448316 12896632