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132255180 = 2236547193
BaseRepresentation
bin1111110001000…
…00110111001100
3100012212021000000
413320200313030
5232324131210
621042404300
73164102421
oct770406714
9305767000
10132255180
1168722302
1238360690
1321528105
14137c9d48
15b926ac0
hex7e20dcc

132255180 has 168 divisors, whose sum is σ = 427476672. Its totient is φ = 34338816.

The previous prime is 132255173. The next prime is 132255187. The reversal of 132255180 is 81552231.

It is a happy number.

132255180 is a `hidden beast` number, since 1 + 32 + 2 + 551 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (132255173) and next prime (132255187).

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

It is not an unprimeable number, because it can be changed into a prime (132255187) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 685164 + ... + 685356.

It is an arithmetic number, because the mean of its divisors is an integer number (2544504).

Almost surely, 2132255180 is an apocalyptic number.

132255180 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 132255180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213738336).

132255180 is an abundant number, since it is smaller than the sum of its proper divisors (295221492).

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

132255180 is a wasteful number, since it uses less digits than its factorization.

132255180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 132255180 is about 11500.2252151860. The cubic root of 132255180 is about 509.4922281784.

The spelling of 132255180 in words is "one hundred thirty-two million, two hundred fifty-five thousand, one hundred eighty".