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132982784 = 211115903
BaseRepresentation
bin1111110110100…
…10100000000000
3100021020020002022
413323102200000
5233020422114
621110141012
73203222624
oct773224000
9307206068
10132982784
1169079a30
1238651768
132172134c
1413939184
15ba1c48e
hex7ed2800

132982784 has 48 divisors (see below), whose sum is σ = 290122560. Its totient is φ = 60436480.

The previous prime is 132982783. The next prime is 132982793. The reversal of 132982784 is 487289231.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (132982783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19577 + ... + 25479.

It is an arithmetic number, because the mean of its divisors is an integer number (6044220).

Almost surely, 2132982784 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 132982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145061280).

132982784 is an abundant number, since it is smaller than the sum of its proper divisors (157139776).

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

132982784 is an equidigital number, since it uses as much as digits as its factorization.

132982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5936 (or 5916 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 132982784 is about 11531.8161622530. The cubic root of 132982784 is about 510.4248465546.

The spelling of 132982784 in words is "one hundred thirty-two million, nine hundred eighty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 5632 5903 11264 11806 22528 23612 47224 64933 94448 129866 188896 259732 377792 519464 755584 1038928 1511168 2077856 3022336 4155712 6044672 8311424 12089344 16622848 33245696 66491392 132982784