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12987296 = 257371567
BaseRepresentation
bin110001100010…
…101110100000
3220102211012222
4301202232200
511311043141
61142210212
7215250560
oct61425640
926384188
1012987296
117370603
124423968
1328c94ba
141a20da0
15121814b
hexc62ba0

12987296 has 48 divisors (see below), whose sum is σ = 30030336. Its totient is φ = 5412096.

The previous prime is 12987253. The next prime is 12987307. The reversal of 12987296 is 69278921.

12987296 = T225 + T226 + ... + T446.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7505 + ... + 9071.

It is an arithmetic number, because the mean of its divisors is an integer number (625632).

Almost surely, 212987296 is an apocalyptic number.

12987296 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 12987296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15015168).

12987296 is an abundant number, since it is smaller than the sum of its proper divisors (17043040).

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

12987296 is a wasteful number, since it uses less digits than its factorization.

12987296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1613 counting only the distinct ones).

The product of its digits is 108864, while the sum is 44.

The square root of 12987296 is about 3603.7891170267. The cubic root of 12987296 is about 235.0568505886.

The spelling of 12987296 in words is "twelve million, nine hundred eighty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1567 2072 3134 4144 6268 8288 10969 12536 21938 25072 43876 50144 57979 87752 115958 175504 231916 351008 405853 463832 811706 927664 1623412 1855328 3246824 6493648 12987296