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12923838 = 23219233153
BaseRepresentation
bin110001010011…
…001110111110
3220022121011200
4301103032332
511302030323
61141000330
7214564554
oct61231676
926277150
1012923838
117327964
1243b30a6
1328a6655
141a05bd4
151204443
hexc533be

12923838 has 96 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 3706560.

The previous prime is 12923809. The next prime is 12923839. The reversal of 12923838 is 83832921.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

12923838 is a modest number, since divided by 3838 gives 1292 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12923839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243820 + ... + 243872.

It is an arithmetic number, because the mean of its divisors is an integer number (336960).

Almost surely, 212923838 is an apocalyptic number.

12923838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12923838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12923838 is an abundant number, since it is smaller than the sum of its proper divisors (19424322).

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

12923838 is a wasteful number, since it uses less digits than its factorization.

12923838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 131 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 12923838 is about 3594.9739915610. The cubic root of 12923838 is about 234.6733835923.

The spelling of 12923838 in words is "twelve million, nine hundred twenty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 23 31 38 46 53 57 62 69 93 106 114 138 159 171 186 207 279 318 342 414 437 477 558 589 713 874 954 1007 1178 1219 1311 1426 1643 1767 2014 2139 2438 2622 3021 3286 3534 3657 3933 4278 4929 5301 6042 6417 7314 7866 9063 9858 10602 10971 12834 13547 14787 18126 21942 23161 27094 29574 31217 37789 40641 46322 62434 69483 75578 81282 93651 113367 121923 138966 187302 208449 226734 243846 280953 340101 416898 561906 680202 717991 1435982 2153973 4307946 6461919 12923838