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132683536 = 2419436459
BaseRepresentation
bin1111110100010…
…01011100010000
3100020200000121001
413322021130100
5232431333121
621055511344
73200535316
oct772113420
9306600531
10132683536
1168995117
1238528554
132164808b
141389c0b6
15b9ad991
hex7e89710

132683536 has 20 divisors (see below), whose sum is σ = 270605200. Its totient is φ = 62849952.

The previous prime is 132683533. The next prime is 132683557. The reversal of 132683536 is 635386231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132683495 and 132683504.

It is not an unprimeable number, because it can be changed into a prime (132683533) 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 3 ways as a sum of consecutive naturals, for example, 217926 + ... + 218533.

It is an arithmetic number, because the mean of its divisors is an integer number (13530260).

Almost surely, 2132683536 is an apocalyptic number.

132683536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132683536 is an abundant number, since it is smaller than the sum of its proper divisors (137921664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132683536 is a wasteful number, since it uses less digits than its factorization.

132683536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436486 (or 436480 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 132683536 is about 11518.8339687661. The cubic root of 132683536 is about 510.0416933747.

The spelling of 132683536 in words is "one hundred thirty-two million, six hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 76 152 304 436459 872918 1745836 3491672 6983344 8292721 16585442 33170884 66341768 132683536