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132332144 = 247324113
BaseRepresentation
bin1111110001100…
…11101001110000
3100020000011120112
413320303221300
5232334112034
621044200452
73164543000
oct770635160
9306004515
10132332144
116877510a
1238399128
1321554159
141380a000
15b93e7ce
hex7e33a70

132332144 has 40 divisors (see below), whose sum is σ = 299013600. Its totient is φ = 56711424.

The previous prime is 132332111. The next prime is 132332159. The reversal of 132332144 is 441233231.

Adding to 132332144 its reverse (441233231), we get a palindrome (573565375).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6569 + ... + 17544.

It is an arithmetic number, because the mean of its divisors is an integer number (7475340).

Almost surely, 2132332144 is an apocalyptic number.

132332144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132332144 is an abundant number, since it is smaller than the sum of its proper divisors (166681456).

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

132332144 is an equidigital number, since it uses as much as digits as its factorization.

132332144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24142 (or 24122 counting only the distinct ones).

The product of its digits is 1728, while the sum is 23.

The square root of 132332144 is about 11503.5709238480. The cubic root of 132332144 is about 509.5910395719.

The spelling of 132332144 in words is "one hundred thirty-two million, three hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 24113 48226 96452 168791 192904 337582 385808 675164 1181537 1350328 2363074 2700656 4726148 8270759 9452296 16541518 18904592 33083036 66166072 132332144