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204132024 = 23323191457
BaseRepresentation
bin11000010101011…
…00111010111000
3112020002222111100
430022230322320
5404224211044
632131131400
75026044045
oct1412547270
9466088440
10204132024
11a5255458
1258443b60
13333a2ca5
141d17a1cc
1512dc3869
hexc2aceb8

204132024 has 48 divisors (see below), whose sum is σ = 570697920. Its totient is φ = 65848320.

The previous prime is 204132023. The next prime is 204132037. The reversal of 204132024 is 420231402.

204132024 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204131988 and 204132006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204132023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43497 + ... + 47960.

It is an arithmetic number, because the mean of its divisors is an integer number (11889540).

Almost surely, 2204132024 is an apocalyptic number.

204132024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204132024 is an abundant number, since it is smaller than the sum of its proper divisors (366565896).

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

204132024 is a wasteful number, since it uses less digits than its factorization.

204132024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91500 (or 91493 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 204132024 is about 14287.4778739986. The cubic root of 204132024 is about 588.8034968360.

Adding to 204132024 its reverse (420231402), we get a palindrome (624363426).

The spelling of 204132024 in words is "two hundred four million, one hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 91457 182914 274371 365828 548742 731656 823113 1097484 1646226 2194968 2835167 3292452 5670334 6584904 8505501 11340668 17011002 22681336 25516503 34022004 51033006 68044008 102066012 204132024