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24132996 = 22321747839
BaseRepresentation
bin101110000001…
…1110110000100
31200102002020200
41130003312010
522134223441
62221130500
7412061406
oct134036604
950362220
1024132996
1112693528
1280b9a30
134ccc6a4
1432c2b76
1521ba7b6
hex1703d84

24132996 has 72 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7401216.

The previous prime is 24132943. The next prime is 24133007. The reversal of 24132996 is 69923142.

24132996 is a `hidden beast` number, since 241 + 329 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 24132996.

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 23 ways as a sum of consecutive naturals, for example, 28345 + ... + 29183.

It is an arithmetic number, because the mean of its divisors is an integer number (917280).

Almost surely, 224132996 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 24132996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

24132996 is an abundant number, since it is smaller than the sum of its proper divisors (41911164).

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

24132996 is a wasteful number, since it uses less digits than its factorization.

24132996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 908 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 24132996 is about 4912.5345800310. The cubic root of 24132996 is about 288.9817479483.

The spelling of 24132996 in words is "twenty-four million, one hundred thirty-two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 839 846 1598 1678 1692 2397 2517 3196 3356 4794 5034 7191 7551 9588 10068 14263 14382 15102 28526 28764 30204 39433 42789 57052 78866 85578 118299 128367 157732 171156 236598 256734 354897 473196 513468 670361 709794 1340722 1419588 2011083 2681444 4022166 6033249 8044332 12066498 24132996