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132244560 = 243257191381
BaseRepresentation
bin1111110000111…
…10010001010000
3100012211201102200
413320132101100
5232323311220
621042243200
73164026440
oct770362120
9305751380
10132244560
1168715328
1238356500
1321523326
14137c6120
15b923890
hex7e1e450

132244560 has 240 divisors, whose sum is σ = 534668160. Its totient is φ = 28615680.

The previous prime is 132244559. The next prime is 132244561. The reversal of 132244560 is 65442231.

It is an interprime number because it is at equal distance from previous prime (132244559) and next prime (132244561).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132244561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95070 + ... + 96450.

It is an arithmetic number, because the mean of its divisors is an integer number (2227784).

Almost surely, 2132244560 is an apocalyptic number.

132244560 is a gapful number since it is divisible by the number (10) 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 132244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267334080).

132244560 is an abundant number, since it is smaller than the sum of its proper divisors (402423600).

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

132244560 is a wasteful number, since it uses less digits than its factorization.

132244560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 132244560 is about 11499.7634758285. The cubic root of 132244560 is about 509.4785905215.

Adding to 132244560 its reverse (65442231), we get a palindrome (197686791).

The spelling of 132244560 in words is "one hundred thirty-two million, two hundred forty-four thousand, five hundred sixty".