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132142857 = 37211711151
BaseRepresentation
bin1111110000001…
…01011100001001
3100012122112220220
413320011130021
5232312032412
621040140253
73163124100
oct770053411
9305575826
10132142857
1168655980
1238307689
13214b8c52
141379b037
15b90368c
hex7e05709

132142857 has 48 divisors (see below), whose sum is σ = 226934784. Its totient is φ = 67620000.

The previous prime is 132142849. The next prime is 132142859. The reversal of 132142857 is 758241231.

It is not a de Polignac number, because 132142857 - 23 = 132142849 is a prime.

It is a super-2 number, since 2×1321428572 = 34923469312244898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

132142857 is a modest number, since divided by 142857 gives 132 as remainder.

It is not an unprimeable number, because it can be changed into a prime (132142859) 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, 114232 + ... + 115382.

It is an arithmetic number, because the mean of its divisors is an integer number (4727808).

Almost surely, 2132142857 is an apocalyptic number.

It is an amenable number.

132142857 is a deficient number, since it is larger than the sum of its proper divisors (94791927).

132142857 is a wasteful number, since it uses less digits than its factorization.

132142857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1243 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 132142857 is about 11495.3406648085. The cubic root of 132142857 is about 509.3479517774.

The spelling of 132142857 in words is "one hundred thirty-two million, one hundred forty-two thousand, eight hundred fifty-seven".

Divisors: 1 3 7 11 21 33 49 71 77 147 213 231 497 539 781 1151 1491 1617 2343 3453 3479 5467 8057 10437 12661 16401 24171 37983 38269 56399 81721 88627 114807 169197 245163 265881 572047 620389 898931 1716141 1861167 2696793 4004329 6292517 12012987 18877551 44047619 132142857