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132255440 = 2451653193
BaseRepresentation
bin1111110001000…
…00111011010000
3100012212021100122
413320200323100
5232324133230
621042405412
73164103242
oct770407320
9305767318
10132255440
1168722519
1238360868
1321528275
14137ca092
15b926be5
hex7e20ed0

132255440 has 20 divisors (see below), whose sum is σ = 307494084. Its totient is φ = 52902144.

The previous prime is 132255439. The next prime is 132255449. The reversal of 132255440 is 44552231.

It is a happy number.

132255440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 86341264 + 45914176 = 9292^2 + 6776^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132255449) 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 3 ways as a sum of consecutive naturals, for example, 826517 + ... + 826676.

Almost surely, 2132255440 is an apocalyptic number.

132255440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132255440 is an abundant number, since it is smaller than the sum of its proper divisors (175238644).

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

132255440 is a wasteful number, since it uses less digits than its factorization.

132255440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653206 (or 1653200 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 132255440 is about 11500.2365193069. The cubic root of 132255440 is about 509.4925620479.

The spelling of 132255440 in words is "one hundred thirty-two million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1653193 3306386 6612772 8265965 13225544 16531930 26451088 33063860 66127720 132255440