Search a number
-
+
12256842 = 23133137137
BaseRepresentation
bin101110110000…
…011001001010
3212001201020010
4232300121022
511114204332
61114412350
7206116143
oct56603112
925051203
1012256842
116a11824
1241310b6
132701b90
1418b0aca
1511219cc
hexbb064a

12256842 has 64 divisors (see below), whose sum is σ = 28191744. Its totient is φ = 3525120.

The previous prime is 12256831. The next prime is 12256883. The reversal of 12256842 is 24865221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89398 + ... + 89534.

It is an arithmetic number, because the mean of its divisors is an integer number (440496).

Almost surely, 212256842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12256842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14095872).

12256842 is an abundant number, since it is smaller than the sum of its proper divisors (15934902).

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

12256842 is a wasteful number, since it uses less digits than its factorization.

12256842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223.

The product of its digits is 7680, while the sum is 30.

The square root of 12256842 is about 3500.9772921286. The cubic root of 12256842 is about 230.5647244452.

The spelling of 12256842 in words is "twelve million, two hundred fifty-six thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 31 37 39 62 74 78 93 111 137 186 222 274 403 411 481 806 822 962 1147 1209 1443 1781 2294 2418 2886 3441 3562 4247 5069 5343 6882 8494 10138 10686 12741 14911 15207 25482 29822 30414 44733 55211 65897 89466 110422 131794 157139 165633 197691 314278 331266 395382 471417 942834 2042807 4085614 6128421 12256842