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132141140 = 22517533769
BaseRepresentation
bin1111110000001…
…01000001010100
3100012122110120022
413320011001110
5232312004030
621040124312
73163116065
oct770050124
9305573508
10132141140
116865465a
1238306698
13214b8231
141379a56c
15b902de5
hex7e05054

132141140 has 24 divisors (see below), whose sum is σ = 277728360. Its totient is φ = 52812288.

The previous prime is 132141131. The next prime is 132141151. The reversal of 132141140 is 41141231.

It is a happy number.

132141140 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 4 ways, for example, as 4857616 + 127283524 = 2204^2 + 11282^2 .

It is a super-2 number, since 2×1321411402 = 34922561760999200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33176 + ... + 36944.

It is an arithmetic number, because the mean of its divisors is an integer number (11572015).

Almost surely, 2132141140 is an apocalyptic number.

132141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132141140 is an abundant number, since it is smaller than the sum of its proper divisors (145587220).

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

132141140 is a wasteful number, since it uses less digits than its factorization.

132141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5531 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 132141140 is about 11495.2659821337. The cubic root of 132141140 is about 509.3457456947.

Adding to 132141140 its reverse (41141231), we get a palindrome (173282371).

Subtracting from 132141140 its reverse (41141231), we obtain a palindrome (90999909).

The spelling of 132141140 in words is "one hundred thirty-two million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1753 3506 3769 7012 7538 8765 15076 17530 18845 35060 37690 75380 6607057 13214114 26428228 33035285 66070570 132141140