Search a number
-
+
12922104 = 2331383499
BaseRepresentation
bin110001010010…
…110011111000
3220022111210110
4301102303320
511302001404
61140544320
7214556526
oct61226370
926274713
1012922104
117326628
1243b20a0
1328a5920
141a05316
151203b89
hexc52cf8

12922104 has 64 divisors (see below), whose sum is σ = 35280000. Its totient is φ = 3920256.

The previous prime is 12922103. The next prime is 12922111. The reversal of 12922104 is 40122921.

12922104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12922103) 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, 25647 + ... + 26145.

It is an arithmetic number, because the mean of its divisors is an integer number (551250).

Almost surely, 212922104 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 12922104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640000).

12922104 is an abundant number, since it is smaller than the sum of its proper divisors (22357896).

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

12922104 is a wasteful number, since it uses less digits than its factorization.

12922104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 12922104 is about 3594.7328134369. The cubic root of 12922104 is about 234.6628876945.

The spelling of 12922104 in words is "twelve million, nine hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 499 664 996 998 1079 1497 1992 1996 2158 2994 3237 3992 4316 5988 6474 6487 8632 11976 12948 12974 19461 25896 25948 38922 41417 51896 77844 82834 124251 155688 165668 248502 331336 497004 538421 994008 1076842 1615263 2153684 3230526 4307368 6461052 12922104