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132660825 = 352114012
BaseRepresentation
bin1111110100000…
…11111001011001
3100020121212102220
413322003321121
5232430121300
621055214253
73200412153
oct772037131
9306555386
10132660825
116897a050
1238517389
132163a93b
1413893ad3
15b9a6da0
hex7e83e59

132660825 has 36 divisors (see below), whose sum is σ = 239870064. Its totient is φ = 64160000.

The previous prime is 132660823. The next prime is 132660839. The reversal of 132660825 is 528066231.

It is not a de Polignac number, because 132660825 - 21 = 132660823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132660823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 330625 + ... + 331025.

Almost surely, 2132660825 is an apocalyptic number.

132660825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132660825 is a deficient number, since it is larger than the sum of its proper divisors (107209239).

132660825 is an equidigital number, since it uses as much as digits as its factorization.

132660825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 132660825 is about 11517.8481063087. The cubic root of 132660825 is about 510.0125910002.

Multiplying 132660825 by its sum of digits (33), we get a square (4377807225 = 661652).

132660825 divided by its sum of digits (33) gives a square (4020025 = 20052).

The spelling of 132660825 in words is "one hundred thirty-two million, six hundred sixty thousand, eight hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 401 825 1203 2005 4411 6015 10025 13233 22055 30075 66165 110275 160801 330825 482403 804005 1768811 2412015 4020025 5306433 8844055 12060075 26532165 44220275 132660825