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132217605 = 32513226013
BaseRepresentation
bin1111110000101…
…11101100000101
3100012210100110100
413320113230011
5232321430410
621041514313
73163555032
oct770275405
9305710410
10132217605
11686a7053
1238342999
1321513c90
14137ba389
15b91a8c0
hex7e17b05

132217605 has 24 divisors (see below), whose sum is σ = 246807288. Its totient is φ = 65091456.

The previous prime is 132217601. The next prime is 132217609. The reversal of 132217605 is 506712231.

It is a happy number.

132217605 is a `hidden beast` number, since 1 + 32 + 21 + 7 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (132217601) and next prime (132217609).

It can be written as a sum of positive squares in 4 ways, for example, as 1846881 + 130370724 = 1359^2 + 11418^2 .

It is not a de Polignac number, because 132217605 - 22 = 132217601 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132217601) 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, 112422 + ... + 113591.

It is an arithmetic number, because the mean of its divisors is an integer number (10283637).

Almost surely, 2132217605 is an apocalyptic number.

132217605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132217605 is a deficient number, since it is larger than the sum of its proper divisors (114589683).

132217605 is a wasteful number, since it uses less digits than its factorization.

132217605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226037 (or 226034 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 132217605 is about 11498.5914354759. The cubic root of 132217605 is about 509.4439730205.

Adding to 132217605 its reverse (506712231), we get a palindrome (638929836).

The spelling of 132217605 in words is "one hundred thirty-two million, two hundred seventeen thousand, six hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 226013 678039 1130065 2034117 2938169 3390195 8814507 10170585 14690845 26443521 44072535 132217605