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12960033 = 319271839
BaseRepresentation
bin110001011100…
…000100100001
3220101102211020
4301130010201
511304210113
61141440053
7215105232
oct61340441
926342736
1012960033
117352079
124410029
1328b9c78
141a15089
151210023
hexc5c121

12960033 has 16 divisors (see below), whose sum is σ = 18278400. Its totient is φ = 8145360.

The previous prime is 12960023. The next prime is 12960041. The reversal of 12960033 is 33006921.

12960033 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12960033 - 28 = 12959777 is a prime.

It is a super-2 number, since 2×129600332 = 335924910722178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12959985 and 12960012.

It is not an unprimeable number, because it can be changed into a prime (12960023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15028 + ... + 15866.

It is an arithmetic number, because the mean of its divisors is an integer number (1142400).

Almost surely, 212960033 is an apocalyptic number.

It is an amenable number.

12960033 is a deficient number, since it is larger than the sum of its proper divisors (5318367).

12960033 is a wasteful number, since it uses less digits than its factorization.

12960033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 12960033 is about 3600.0045833304. The cubic root of 12960033 is about 234.8922578382.

Adding to 12960033 its reverse (33006921), we get a palindrome (45966954).

The spelling of 12960033 in words is "twelve million, nine hundred sixty thousand, thirty-three".

Divisors: 1 3 19 57 271 813 839 2517 5149 15447 15941 47823 227369 682107 4320011 12960033