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132284832 = 2531377967
BaseRepresentation
bin1111110001010…
…00000110100000
3100012220202200020
413320220012200
5232331103312
621043153440
73164255031
oct770500640
9305822606
10132284832
1168742609
1238375880
1321538764
14137d6a88
15b93078c
hex7e281a0

132284832 has 24 divisors (see below), whose sum is σ = 347247936. Its totient is φ = 44094912.

The previous prime is 132284809. The next prime is 132284861. The reversal of 132284832 is 238482231.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132284793 and 132284802.

It is an unprimeable number.

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, 688888 + ... + 689079.

It is an arithmetic number, because the mean of its divisors is an integer number (14468664).

Almost surely, 2132284832 is an apocalyptic number.

132284832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132284832 is an abundant number, since it is smaller than the sum of its proper divisors (214963104).

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

132284832 is a wasteful number, since it uses less digits than its factorization.

132284832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377980 (or 1377972 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 132284832 is about 11501.5143350778. The cubic root of 132284832 is about 509.5303018847.

The spelling of 132284832 in words is "one hundred thirty-two million, two hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1377967 2755934 4133901 5511868 8267802 11023736 16535604 22047472 33071208 44094944 66142416 132284832