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132506309 = 132784061
BaseRepresentation
bin1111110010111…
…10001011000101
3100020100000111002
413321132023011
5232410200214
621052023045
73166166525
oct771361305
9306300432
10132506309
1168883a51
1238461a85
13215b5500
1413853685
15b9761de
hex7e5e2c5

132506309 has 6 divisors (see below), whose sum is σ = 143483346. Its totient is φ = 122313360.

The previous prime is 132506267. The next prime is 132506321. The reversal of 132506309 is 903605231.

It can be written as a sum of positive squares in 3 ways, for example, as 5313025 + 127193284 = 2305^2 + 11278^2 .

It is not a de Polignac number, because 132506309 - 28 = 132506053 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132506329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391862 + ... + 392199.

It is an arithmetic number, because the mean of its divisors is an integer number (23913891).

Almost surely, 2132506309 is an apocalyptic number.

It is an amenable number.

132506309 is a deficient number, since it is larger than the sum of its proper divisors (10977037).

132506309 is an equidigital number, since it uses as much as digits as its factorization.

132506309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784087 (or 784074 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 132506309 is about 11511.1384754072. The cubic root of 132506309 is about 509.8145025761.

The spelling of 132506309 in words is "one hundred thirty-two million, five hundred six thousand, three hundred nine".

Divisors: 1 13 169 784061 10192793 132506309