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132986368 = 29232491
BaseRepresentation
bin1111110110100…
…11011000000000
3100021020102000001
413323103120000
5233021030433
621110205344
73203236234
oct773233000
9307212001
10132986368
1169081699
1238653854
1321722b78
141393a5c4
15ba1d57d
hex7ed3600

132986368 has 60 divisors (see below), whose sum is σ = 278333748. Its totient is φ = 63472640.

The previous prime is 132986323. The next prime is 132986369. The reversal of 132986368 is 863689231.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132986369) 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 5 ways as a sum of consecutive naturals, for example, 270603 + ... + 271093.

Almost surely, 2132986368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139166874).

132986368 is an abundant number, since it is smaller than the sum of its proper divisors (145347380).

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

132986368 is an frugal number, since it uses more digits than its factorization.

132986368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 516 counting only the distinct ones).

The product of its digits is 373248, while the sum is 46.

The square root of 132986368 is about 11531.9715573704. The cubic root of 132986368 is about 510.4294319758.

The spelling of 132986368 in words is "one hundred thirty-two million, nine hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 491 512 529 736 982 1058 1472 1964 2116 2944 3928 4232 5888 7856 8464 11293 11776 15712 16928 22586 31424 33856 45172 62848 67712 90344 125696 135424 180688 251392 259739 270848 361376 519478 722752 1038956 1445504 2077912 2891008 4155824 5782016 8311648 16623296 33246592 66493184 132986368