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132024324 = 223232332053
BaseRepresentation
bin1111101111010…
…00100000000100
3100012102112022210
413313220200010
5232244234244
621033423420
73162121365
oct767504004
9305375283
10132024324
1168584913
123826ab70
1321477003
1413769b6c
15b8cd4b9
hex7de8804

132024324 has 48 divisors (see below), whose sum is σ = 322987392. Its totient is φ = 41893632.

The previous prime is 132024307. The next prime is 132024349. The reversal of 132024324 is 423420231.

132024324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 132024324.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63282 + ... + 65334.

It is an arithmetic number, because the mean of its divisors is an integer number (6728904).

Almost surely, 2132024324 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 132024324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161493696).

132024324 is an abundant number, since it is smaller than the sum of its proper divisors (190963068).

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

132024324 is a wasteful number, since it uses less digits than its factorization.

132024324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 132024324 is about 11490.1838105402. The cubic root of 132024324 is about 509.1956100788.

Adding to 132024324 its reverse (423420231), we get a palindrome (555444555).

The spelling of 132024324 in words is "one hundred thirty-two million, twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 233 276 466 699 932 1398 2053 2796 4106 5359 6159 8212 10718 12318 16077 21436 24636 32154 47219 64308 94438 141657 188876 283314 478349 566628 956698 1435047 1913396 2870094 5740188 11002027 22004054 33006081 44008108 66012162 132024324