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12441924 = 2234113491
BaseRepresentation
bin101111011101…
…100101000100
3212102010010000
4233131211010
511141120144
61122401300
7210516555
oct57354504
925363100
1012441924
117028890
124200230
1327681b1
14191c32c
15115b769
hexbdd944

12441924 has 60 divisors (see below), whose sum is σ = 35492688. Its totient is φ = 3769200.

The previous prime is 12441917. The next prime is 12441937. The reversal of 12441924 is 42914421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1819 + ... + 5309.

Almost surely, 212441924 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 12441924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746344).

12441924 is an abundant number, since it is smaller than the sum of its proper divisors (23050764).

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

12441924 is a wasteful number, since it uses less digits than its factorization.

12441924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3507 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12441924 is about 3527.3111572414. The cubic root of 12441924 is about 231.7194637241.

The spelling of 12441924 in words is "twelve million, four hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3491 3564 6982 10473 13964 20946 31419 38401 41892 62838 76802 94257 115203 125676 153604 188514 230406 282771 345609 377028 460812 565542 691218 1036827 1131084 1382436 2073654 3110481 4147308 6220962 12441924