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132291825 = 3528919819
BaseRepresentation
bin1111110001010…
…01110011110001
3100012221010021020
413320221303301
5232331314300
621043250053
73164314311
oct770516361
9305833236
10132291825
1168747896
1238379929
132153b9b3
14137d9441
15b9328a0
hex7e29cf1

132291825 has 24 divisors (see below), whose sum is σ = 221191200. Its totient is φ = 69759360.

The previous prime is 132291781. The next prime is 132291829. The reversal of 132291825 is 528192231.

It is a happy number.

It is not a de Polignac number, because 132291825 - 210 = 132290801 is a prime.

It is a super-2 number, since 2×1322918252 = 35002253923661250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132291829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3235 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (9216300).

Almost surely, 2132291825 is an apocalyptic number.

132291825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132291825 is a deficient number, since it is larger than the sum of its proper divisors (88899375).

132291825 is a wasteful number, since it uses less digits than its factorization.

132291825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19921 (or 19916 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 132291825 is about 11501.8183345069. The cubic root of 132291825 is about 509.5392801945.

The spelling of 132291825 in words is "one hundred thirty-two million, two hundred ninety-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 75 89 267 445 1335 2225 6675 19819 59457 99095 297285 495475 1486425 1763891 5291673 8819455 26458365 44097275 132291825