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132420825 = 345265393
BaseRepresentation
bin1111110010010…
…01010011011001
3100020011200020000
413321021103121
5232344431300
621050123213
73165362355
oct771112331
9306150200
10132420825
11688257a9
1238420509
1321585624
1413830465
15b95ac00
hex7e494d9

132420825 has 30 divisors (see below), whose sum is σ = 245292894. Its totient is φ = 70623360.

The previous prime is 132420793. The next prime is 132420851. The reversal of 132420825 is 528024231.

It can be written as a sum of positive squares in 3 ways, for example, as 331776 + 132089049 = 576^2 + 11493^2 .

It is not a de Polignac number, because 132420825 - 25 = 132420793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30672 + ... + 34721.

Almost surely, 2132420825 is an apocalyptic number.

132420825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132420825 is a deficient number, since it is larger than the sum of its proper divisors (112872069).

132420825 is an equidigital number, since it uses as much as digits as its factorization.

132420825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65415 (or 65401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132420825 is about 11507.4247770733. The cubic root of 132420825 is about 509.7048465191.

The spelling of 132420825 in words is "one hundred thirty-two million, four hundred twenty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 65393 196179 326965 588537 980895 1634825 1765611 2942685 4904475 5296833 8828055 14713425 26484165 44140275 132420825