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132412210 = 2572270229
BaseRepresentation
bin1111110010001…
…11001100110010
3100020011020101221
413321013030302
5232344142320
621050015254
73165325300
oct771071462
9306136357
10132412210
116881a287
123841752a
1321581728
141382b270
15b9583aa
hex7e47332

132412210 has 24 divisors (see below), whose sum is σ = 277255980. Its totient is φ = 45398304.

The previous prime is 132412199. The next prime is 132412213. The reversal of 132412210 is 12214231.

It can be written as a sum of positive squares in 2 ways, for example, as 131951169 + 461041 = 11487^2 + 679^2 .

It is not an unprimeable number, because it can be changed into a prime (132412213) 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, 134625 + ... + 135604.

Almost surely, 2132412210 is an apocalyptic number.

132412210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132412210 is an abundant number, since it is smaller than the sum of its proper divisors (144843770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132412210 is a wasteful number, since it uses less digits than its factorization.

132412210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270250 (or 270243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 132412210 is about 11507.0504474431. The cubic root of 132412210 is about 509.6937928638.

Adding to 132412210 its reverse (12214231), we get a palindrome (144626441).

It can be divided in two parts, 13241 and 2210, that added together give a palindrome (15451).

The spelling of 132412210 in words is "one hundred thirty-two million, four hundred twelve thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 270229 540458 1351145 1891603 2702290 3783206 9458015 13241221 18916030 26482442 66206105 132412210