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12137804 = 2274197109
BaseRepresentation
bin101110010011…
…010101001100
3211211122221022
4232103111030
511101402204
61112053312
7205112120
oct56232514
924748838
1012137804
116940348
124094238
13268c943
14187d580
1510eb5be
hexb9354c

12137804 has 48 divisors (see below), whose sum is σ = 25354560. Its totient is φ = 4976640.

The previous prime is 12137803. The next prime is 12137809. The reversal of 12137804 is 40873121.

12137804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12137803) 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, 111302 + ... + 111410.

It is an arithmetic number, because the mean of its divisors is an integer number (528220).

Almost surely, 212137804 is an apocalyptic number.

12137804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12137804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12677280).

12137804 is an abundant number, since it is smaller than the sum of its proper divisors (13216756).

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

12137804 is a wasteful number, since it uses less digits than its factorization.

12137804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 12137804 is about 3483.9351314283. The cubic root of 12137804 is about 229.8158828977.

The spelling of 12137804 in words is "twelve million, one hundred thirty-seven thousand, eight hundred four".

Divisors: 1 2 4 7 14 28 41 82 97 109 164 194 218 287 388 436 574 679 763 1148 1358 1526 2716 3052 3977 4469 7954 8938 10573 15908 17876 21146 27839 31283 42292 55678 62566 74011 111356 125132 148022 296044 433493 866986 1733972 3034451 6068902 12137804