Search a number
-
+
132779025 = 3252590129
BaseRepresentation
bin1111110101000…
…00110000010001
3100020211212120200
413322200300101
5232442412100
621101525413
73201413601
oct772406021
9306755520
10132779025
1168a4a935
1238573869
132167c692
14138c4c01
15b9cbe00
hex7ea0c11

132779025 has 18 divisors (see below), whose sum is σ = 237822390. Its totient is φ = 70815360.

The previous prime is 132779021. The next prime is 132779029. The reversal of 132779025 is 520977231.

It is an interprime number because it is at equal distance from previous prime (132779021) and next prime (132779029).

It can be written as a sum of positive squares in 3 ways, for example, as 21455424 + 111323601 = 4632^2 + 10551^2 .

It is not a de Polignac number, because 132779025 - 22 = 132779021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132779021) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 294840 + ... + 295289.

It is an arithmetic number, because the mean of its divisors is an integer number (13212355).

Almost surely, 2132779025 is an apocalyptic number.

132779025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132779025 is a deficient number, since it is larger than the sum of its proper divisors (105043365).

132779025 is a wasteful number, since it uses less digits than its factorization.

132779025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590145 (or 590137 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 132779025 is about 11522.9781306744. The cubic root of 132779025 is about 510.1640187560.

The spelling of 132779025 in words is "one hundred thirty-two million, seven hundred seventy-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 590129 1770387 2950645 5311161 8851935 14753225 26555805 44259675 132779025