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132427637 = 178099629
BaseRepresentation
bin1111110010010…
…10111101110101
3100020012000120022
413321022331311
5232400141022
621050214525
73165421256
oct771127565
9306160508
10132427637
116882a931
1238424445
1321588764
1413832b2d
15b95cc42
hex7e4af75

132427637 has 8 divisors (see below), whose sum is σ = 140405400. Its totient is φ = 124470784.

The previous prime is 132427627. The next prime is 132427649. The reversal of 132427637 is 736724231.

It can be written as a sum of positive squares in 4 ways, for example, as 104980516 + 27447121 = 10246^2 + 5239^2 .

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 132427637 - 216 = 132362101 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132427597 and 132427606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132427627) 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, 8939 + ... + 18567.

It is an arithmetic number, because the mean of its divisors is an integer number (17550675).

Almost surely, 2132427637 is an apocalyptic number.

132427637 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132427637 is a deficient number, since it is larger than the sum of its proper divisors (7977763).

132427637 is an equidigital number, since it uses as much as digits as its factorization.

132427637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10455.

The product of its digits is 42336, while the sum is 35.

The square root of 132427637 is about 11507.7207560837. The cubic root of 132427637 is about 509.7135864583.

The spelling of 132427637 in words is "one hundred thirty-two million, four hundred twenty-seven thousand, six hundred thirty-seven".

Divisors: 1 17 809 9629 13753 163693 7789861 132427637