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12137286 = 2371789191
BaseRepresentation
bin101110010011…
…001101000110
3211211122020010
4232103031012
511101343121
61112051050
7205110450
oct56231506
924748203
1012137286
11693aa17
124093a86
13268c635
14187d2d0
1510eb376
hexb93346

12137286 has 64 divisors (see below), whose sum is σ = 29859840. Its totient is φ = 3210240.

The previous prime is 12137273. The next prime is 12137287. The reversal of 12137286 is 68273121.

12137286 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121372862 = 294627422891592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63451 + ... + 63641.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 212137286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12137286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14929920).

12137286 is an abundant number, since it is smaller than the sum of its proper divisors (17722554).

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

12137286 is a wasteful number, since it uses less digits than its factorization.

12137286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309.

The product of its digits is 4032, while the sum is 30.

The square root of 12137286 is about 3483.8607894117. The cubic root of 12137286 is about 229.8126135989.

The spelling of 12137286 in words is "twelve million, one hundred thirty-seven thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 89 102 119 178 191 238 267 357 382 534 573 623 714 1146 1246 1337 1513 1869 2674 3026 3247 3738 4011 4539 6494 8022 9078 9741 10591 16999 19482 21182 22729 31773 33998 45458 50997 63546 68187 101994 118993 136374 237986 288983 356979 577966 713958 866949 1733898 2022881 4045762 6068643 12137286