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12996893 = 713197517
BaseRepresentation
bin110001100101…
…000100011101
3220110022101102
4301211010131
511311400033
61142322445
7215320550
oct61450435
926408342
1012996893
117377838
124429425
132900990
141a24697
15121ade8
hexc6511d

12996893 has 16 divisors (see below), whose sum is σ = 16840320. Its totient is φ = 9740736.

The previous prime is 12996881. The next prime is 12996911. The reversal of 12996893 is 39869921.

12996893 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12996893 - 28 = 12996637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2030 + ... + 5487.

It is an arithmetic number, because the mean of its divisors is an integer number (1052520).

Almost surely, 212996893 is an apocalyptic number.

12996893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12996893 is a deficient number, since it is larger than the sum of its proper divisors (3843427).

12996893 is a wasteful number, since it uses less digits than its factorization.

12996893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7556.

The product of its digits is 209952, while the sum is 47.

The square root of 12996893 is about 3605.1203863394. The cubic root of 12996893 is about 235.1147349799.

It can be divided in two parts, 1299 and 6893, that added together give a 13-th power (8192 = 213).

The spelling of 12996893 in words is "twelve million, nine hundred ninety-six thousand, eight hundred ninety-three".

Divisors: 1 7 13 19 91 133 247 1729 7517 52619 97721 142823 684047 999761 1856699 12996893