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132291378 = 23227112
BaseRepresentation
bin1111110001010…
…01101100110010
3100012221002122200
413320221230302
5232331311003
621043244030
73164313102
oct770515462
9305832580
10132291378
116874751a
1238379616
132153b72b
14137d9202
15b9326a3
hex7e29b32

132291378 has 18 divisors (see below), whose sum is σ = 286737087. Its totient is φ = 44080860.

The previous prime is 132291373. The next prime is 132291409. The reversal of 132291378 is 873192231.

It can be written as a sum of positive squares in only one way, i.e., 66145689 + 66145689 = 8133^2 + 8133^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8133.

It is not an unprimeable number, because it can be changed into a prime (132291373) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47443 + ... + 50153.

Almost surely, 2132291378 is an apocalyptic number.

132291378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132291378 is an abundant number, since it is smaller than the sum of its proper divisors (154445709).

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

132291378 is an frugal number, since it uses more digits than its factorization.

132291378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 2716 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 132291378 is about 11501.7989027804. The cubic root of 132291378 is about 509.5387063009.

The spelling of 132291378 in words is "one hundred thirty-two million, two hundred ninety-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 2711 5422 8133 16266 24399 48798 7349521 14699042 22048563 44097126 66145689 132291378