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132814451 = 72112391031
BaseRepresentation
bin1111110101010…
…01011001110011
3100020220200011202
413322221121303
5233000030301
621102401415
73201622100
oct772513163
9306820152
10132814451
1168a74510
123859026b
1321692843
14138d3aa7
15b9d766b
hex7ea9673

132814451 has 24 divisors (see below), whose sum is σ = 169413120. Its totient is φ = 102958800.

The previous prime is 132814439. The next prime is 132814453. The reversal of 132814451 is 154418231.

It is not a de Polignac number, because 132814451 - 210 = 132813427 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132814453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128306 + ... + 129336.

It is an arithmetic number, because the mean of its divisors is an integer number (7058880).

Almost surely, 2132814451 is an apocalyptic number.

132814451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132814451 is a deficient number, since it is larger than the sum of its proper divisors (36598669).

132814451 is a wasteful number, since it uses less digits than its factorization.

132814451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1288 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 132814451 is about 11524.5152175699. The cubic root of 132814451 is about 510.2093860205.

The spelling of 132814451 in words is "one hundred thirty-two million, eight hundred fourteen thousand, four hundred fifty-one".

Divisors: 1 7 11 49 77 239 539 1031 1673 2629 7217 11341 11711 18403 50519 79387 128821 246409 555709 1724863 2710499 12074041 18973493 132814451