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132382005 = 35710711783
BaseRepresentation
bin1111110001111…
…11110100110101
3100020002200222020
413320333310311
5232342211010
621045223353
73165141240
oct770776465
9306080866
10132382005
11687a9618
1238401b59
1321570a62
1413820257
15b94e470
hex7e3fd35

132382005 has 32 divisors (see below), whose sum is σ = 244353024. Its totient is φ = 59946816.

The previous prime is 132381983. The next prime is 132382007. The reversal of 132382005 is 500283231.

It is not a de Polignac number, because 132382005 - 27 = 132381877 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 (132382007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5344 + ... + 17126.

It is an arithmetic number, because the mean of its divisors is an integer number (7636032).

Almost surely, 2132382005 is an apocalyptic number.

132382005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132382005 is a deficient number, since it is larger than the sum of its proper divisors (111971019).

132382005 is a wasteful number, since it uses less digits than its factorization.

132382005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132382005 is about 11505.7379163616. The cubic root of 132382005 is about 509.6550339211.

The spelling of 132382005 in words is "one hundred thirty-two million, three hundred eighty-two thousand, five".

Divisors: 1 3 5 7 15 21 35 105 107 321 535 749 1605 2247 3745 11235 11783 35349 58915 82481 176745 247443 412405 1237215 1260781 3782343 6303905 8825467 18911715 26476401 44127335 132382005