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12995072 = 29171493
BaseRepresentation
bin110001100100…
…101000000000
3220110012212222
4301210220000
511311320242
61142310212
7215312336
oct61445000
926405788
1012995072
117376432
124428368
1328ccbbc
141a23b56
15121a5d2
hexc64a00

12995072 has 40 divisors (see below), whose sum is σ = 27510516. Its totient is φ = 6111232.

The previous prime is 12995053. The next prime is 12995083. The reversal of 12995072 is 27059921.

It can be written as a sum of positive squares in 2 ways, for example, as 11397376 + 1597696 = 3376^2 + 1264^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7958 + ... + 9450.

Almost surely, 212995072 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 12995072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755258).

12995072 is an abundant number, since it is smaller than the sum of its proper divisors (14515444).

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

12995072 is an equidigital number, since it uses as much as digits as its factorization.

12995072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 12995072 is about 3604.8678200456. The cubic root of 12995072 is about 235.1037537931.

The spelling of 12995072 in words is "twelve million, nine hundred ninety-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 1493 2176 2986 4352 5972 8704 11944 23888 25381 47776 50762 95552 101524 191104 203048 382208 406096 764416 812192 1624384 3248768 6497536 12995072