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132664005 = 3251721012
BaseRepresentation
bin1111110100001…
…00101011000101
3100020122000210200
413322010223011
5232430222010
621055241113
73200424345
oct772045305
9306560720
10132664005
1168981481
1238519199
132163c216
1413894d25
15b9a7cc0
hex7e84ac5

132664005 has 54 divisors (see below), whose sum is σ = 246715638. Its totient is φ = 65932800.

The previous prime is 132664003. The next prime is 132664013. The reversal of 132664005 is 500466231.

132664005 is a `hidden beast` number, since 13 + 2 + 6 + 640 + 0 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 21846276 + 110817729 = 4674^2 + 10527^2 .

It is not a de Polignac number, because 132664005 - 21 = 132664003 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132664005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132664003) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1313455 + ... + 1313555.

Almost surely, 2132664005 is an apocalyptic number.

132664005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132664005 is a deficient number, since it is larger than the sum of its proper divisors (114051633).

132664005 is a wasteful number, since it uses less digits than its factorization.

132664005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 132664005 is about 11517.9861521014. The cubic root of 132664005 is about 510.0166661220.

It can be divided in two parts, 13266 and 4005, that added together give a palindrome (17271).

The spelling of 132664005 in words is "one hundred thirty-two million, six hundred sixty-four thousand, five".

Divisors: 1 3 5 9 15 17 45 51 85 101 153 255 289 303 505 765 867 909 1445 1515 1717 2601 4335 4545 5151 8585 10201 13005 15453 25755 29189 30603 51005 77265 87567 91809 145945 153015 173417 262701 437835 459045 520251 867085 1313505 1560753 2601255 2948089 7803765 8844267 14740445 26532801 44221335 132664005