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132053361 = 3114001617
BaseRepresentation
bin1111101111011…
…11100101110001
3100012111000011020
413313233211301
5232301201421
621034210053
73162302136
oct767574561
9305430136
10132053361
11685a4710
1238283929
13214872ab
141377658d
15b8d6dc6
hex7def971

132053361 has 8 divisors (see below), whose sum is σ = 192077664. Its totient is φ = 80032320.

The previous prime is 132053357. The next prime is 132053381. The reversal of 132053361 is 163350231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132053361 - 22 = 132053357 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (132053321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2000776 + ... + 2000841.

It is an arithmetic number, because the mean of its divisors is an integer number (24009708).

Almost surely, 2132053361 is an apocalyptic number.

132053361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132053361 is a deficient number, since it is larger than the sum of its proper divisors (60024303).

132053361 is a wasteful number, since it uses less digits than its factorization.

132053361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001631.

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 132053361 is about 11491.4472978820. The cubic root of 132053361 is about 509.2329376172.

The spelling of 132053361 in words is "one hundred thirty-two million, fifty-three thousand, three hundred sixty-one".

Divisors: 1 3 11 33 4001617 12004851 44017787 132053361