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132936705 = 325111012659
BaseRepresentation
bin1111110110001…
…11010000000001
3100021010212212200
413323013100001
5233012433310
621105143413
73202641366
oct773072001
9307125780
10132936705
1169048350
123862ab69
1321706395
141392646d
15ba0d9c0
hex7ec7401

132936705 has 48 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 63792000.

The previous prime is 132936691. The next prime is 132936707. The reversal of 132936705 is 507639231.

It is not a de Polignac number, because 132936705 - 24 = 132936689 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132936705.

It is not an unprimeable number, because it can be changed into a prime (132936707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48666 + ... + 51324.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2132936705 is an apocalyptic number.

132936705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132936705 is a deficient number, since it is larger than the sum of its proper divisors (121018815).

132936705 is a wasteful number, since it uses less digits than its factorization.

132936705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 132936705 is about 11529.8180818259. The cubic root of 132936705 is about 510.3658850788.

The spelling of 132936705 in words is "one hundred thirty-two million, nine hundred thirty-six thousand, seven hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 165 303 495 505 909 1111 1515 2659 3333 4545 5555 7977 9999 13295 16665 23931 29249 39885 49995 87747 119655 146245 263241 268559 438735 805677 1316205 1342795 2417031 2954149 4028385 8862447 12085155 14770745 26587341 44312235 132936705