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132050345 = 5721573433
BaseRepresentation
bin1111101111011…
…10110110101001
3100012110212000112
413313232312221
5232301102340
621034144105
73162260300
oct767566651
9305425015
10132050345
11685a2419
1238282035
1321485acb
1413775437
15b8d6065
hex7deeda9

132050345 has 24 divisors (see below), whose sum is σ = 185559624. Its totient is φ = 89945856.

The previous prime is 132050309. The next prime is 132050353. The reversal of 132050345 is 543050231.

It can be written as a sum of positive squares in 4 ways, for example, as 2181529 + 129868816 = 1477^2 + 11396^2 .

It is not a de Polignac number, because 132050345 - 28 = 132050089 is a prime.

It is a super-2 number, since 2×1320503452 = 34874587229238050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132050345.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36749 + ... + 40181.

It is an arithmetic number, because the mean of its divisors is an integer number (7731651).

Almost surely, 2132050345 is an apocalyptic number.

It is an amenable number.

132050345 is a deficient number, since it is larger than the sum of its proper divisors (53509279).

132050345 is a wasteful number, since it uses less digits than its factorization.

132050345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 132050345 is about 11491.3160691019. The cubic root of 132050345 is about 509.2290607546.

The spelling of 132050345 in words is "one hundred thirty-two million, fifty thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 157 245 785 1099 3433 5495 7693 17165 24031 38465 120155 168217 538981 841085 2694905 3772867 18864335 26410069 132050345