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13008933 = 327316661
BaseRepresentation
bin110001101000…
…000000100101
3220110220220100
4301220000211
511312241213
61142454313
7215400630
oct61500045
926426810
1013008933
117385893
124434399
1329062c2
141a28c17
15121e773
hexc68025

13008933 has 24 divisors (see below), whose sum is σ = 22171136. Its totient is φ = 7192800.

The previous prime is 13008929. The next prime is 13008943. The reversal of 13008933 is 33980031.

It is not a de Polignac number, because 13008933 - 22 = 13008929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13008897 and 13008906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13008913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1378 + ... + 5283.

Almost surely, 213008933 is an apocalyptic number.

It is an amenable number.

13008933 is a deficient number, since it is larger than the sum of its proper divisors (9162203).

13008933 is a wasteful number, since it uses less digits than its factorization.

13008933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13008933 is about 3606.7898469415. The cubic root of 13008933 is about 235.1873140631.

Adding to 13008933 its reverse (33980031), we get a palindrome (46988964).

The spelling of 13008933 in words is "thirteen million, eight thousand, nine hundred thirty-three".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 6661 19983 46627 59949 139881 206491 419643 619473 1445437 1858419 4336311 13008933