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132774317 = 1310993701
BaseRepresentation
bin1111110100111…
…11100110101101
3100020211122010022
413322133212231
5232442234232
621101451525
73201364064
oct772374655
9306748108
10132774317
1168a47345
1238570ba5
132167a4b0
14138c31db
15b9ca812
hex7e9f9ad

132774317 has 8 divisors (see below), whose sum is σ = 144301080. Its totient is φ = 121435200.

The previous prime is 132774311. The next prime is 132774373. The reversal of 132774317 is 713477231.

It can be written as a sum of positive squares in 4 ways, for example, as 43112356 + 89661961 = 6566^2 + 9469^2 .

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 132774317 - 26 = 132774253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132774311) 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, 45434 + ... + 48267.

It is an arithmetic number, because the mean of its divisors is an integer number (18037635).

Almost surely, 2132774317 is an apocalyptic number.

It is an amenable number.

132774317 is a deficient number, since it is larger than the sum of its proper divisors (11526763).

132774317 is a wasteful number, since it uses less digits than its factorization.

132774317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93823.

The product of its digits is 24696, while the sum is 35.

The square root of 132774317 is about 11522.7738413977. The cubic root of 132774317 is about 510.1579889869.

The spelling of 132774317 in words is "one hundred thirty-two million, seven hundred seventy-four thousand, three hundred seventeen".

Divisors: 1 13 109 1417 93701 1218113 10213409 132774317