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132200424 = 2334204013
BaseRepresentation
bin1111110000100…
…11011111101000
3100012202110220000
413320103133220
5232320403144
621041303000
73163453656
oct770233750
9305673800
10132200424
1168695154
1238334a60
1321509205
14137b3dd6
15b915769
hex7e137e8

132200424 has 40 divisors (see below), whose sum is σ = 370285410. Its totient is φ = 44066592.

The previous prime is 132200413. The next prime is 132200429. The reversal of 132200424 is 424002231.

It can be written as a sum of positive squares in only one way, i.e., 92736900 + 39463524 = 9630^2 + 6282^2 .

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 = 132200397 and 132200406.

It is not an unprimeable number, because it can be changed into a prime (132200429) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 101359 + ... + 102654.

Almost surely, 2132200424 is an apocalyptic number.

It is an amenable number.

132200424 is an abundant number, since it is smaller than the sum of its proper divisors (238084986).

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

132200424 is a wasteful number, since it uses less digits than its factorization.

132200424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204031 (or 204018 counting only the distinct ones).

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

The square root of 132200424 is about 11497.8443196975. The cubic root of 132200424 is about 509.4219055204.

Adding to 132200424 its reverse (424002231), we get a palindrome (556202655).

The spelling of 132200424 in words is "one hundred thirty-two million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 204013 408026 612039 816052 1224078 1632104 1836117 2448156 3672234 4896312 5508351 7344468 11016702 14688936 16525053 22033404 33050106 44066808 66100212 132200424