Search a number
-
+
132300049 = 723772973
BaseRepresentation
bin1111110001010…
…11110100010001
3100012221112112211
413320223310101
5232332100144
621043352121
73164350300
oct770536421
9305845484
10132300049
1168752a92
1238382641
132154266b
14137dc437
15b935034
hex7e2bd11

132300049 has 12 divisors (see below), whose sum is σ = 158061684. Its totient is φ = 110333664.

The previous prime is 132300041. The next prime is 132300053. The reversal of 132300049 is 940003231.

It can be written as a sum of positive squares in 2 ways, for example, as 87984400 + 44315649 = 9380^2 + 6657^2 .

It is not a de Polignac number, because 132300049 - 23 = 132300041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132300041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34674 + ... + 38299.

It is an arithmetic number, because the mean of its divisors is an integer number (13171807).

Almost surely, 2132300049 is an apocalyptic number.

It is an amenable number.

132300049 is a deficient number, since it is larger than the sum of its proper divisors (25761635).

132300049 is an equidigital number, since it uses as much as digits as its factorization.

132300049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73024 (or 73017 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 132300049 is about 11502.1758376405. The cubic root of 132300049 is about 509.5498385799.

The spelling of 132300049 in words is "one hundred thirty-two million, three hundred thousand, forty-nine".

Divisors: 1 7 37 49 259 1813 72973 510811 2700001 3575677 18900007 132300049