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132091344 = 24337112192
BaseRepresentation
bin1111101111110…
…00110111010000
3100012112221021000
413313320313100
5232303410334
621035102000
73162520650
oct767706720
9305487230
10132091344
1168620200
12382a1900
132149b678
1413786360
15b8e3299
hex7df8dd0

132091344 has 360 divisors, whose sum is σ = 502676160. Its totient is φ = 32503680.

The previous prime is 132091319. The next prime is 132091357. The reversal of 132091344 is 443190231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6952167 + ... + 6952185.

Almost surely, 2132091344 is an apocalyptic number.

132091344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132091344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338080).

132091344 is an abundant number, since it is smaller than the sum of its proper divisors (370584816).

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

132091344 is a wasteful number, since it uses less digits than its factorization.

132091344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132091344 is about 11493.0998429492. The cubic root of 132091344 is about 509.2817571256.

The spelling of 132091344 in words is "one hundred thirty-two million, ninety-one thousand, three hundred forty-four".