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132053441 = 1338926113
BaseRepresentation
bin1111101111011…
…11100111000001
3100012111000021012
413313233213001
5232301202231
621034210305
73162302312
oct767574701
9305430235
10132053441
11685a4783
1238283995
1321487340
1413776609
15b8d6e2b
hex7def9c1

132053441 has 8 divisors (see below), whose sum is σ = 142582440. Its totient is φ = 121577472.

The previous prime is 132053431. The next prime is 132053447. The reversal of 132053441 is 144350231.

It can be written as a sum of positive squares in 4 ways, for example, as 2002225 + 130051216 = 1415^2 + 11404^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 132053441 - 214 = 132037057 is a prime.

It is a super-2 number, since 2×1320534412 = 34876222559880962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132053447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8000 + ... + 18113.

It is an arithmetic number, because the mean of its divisors is an integer number (17822805).

Almost surely, 2132053441 is an apocalyptic number.

It is an amenable number.

132053441 is a deficient number, since it is larger than the sum of its proper divisors (10528999).

132053441 is a wasteful number, since it uses less digits than its factorization.

132053441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26515.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 132053441 is about 11491.4507787311. The cubic root of 132053441 is about 509.2330404510.

The spelling of 132053441 in words is "one hundred thirty-two million, fifty-three thousand, four hundred forty-one".

Divisors: 1 13 389 5057 26113 339469 10157957 132053441