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32640084 = 2234100741
BaseRepresentation
bin111110010000…
…0110001010100
32021102021210000
41330200301110
531323440314
63123331300
7544302411
oct174406124
967367700
1032640084
1117473a84
12ab20b30
1369ba879
144499108
152ceb209
hex1f20c54

32640084 has 30 divisors (see below), whose sum is σ = 85328474. Its totient is φ = 10879920.

The previous prime is 32640077. The next prime is 32640107. The reversal of 32640084 is 48004623.

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 5391684 = 5220^2 + 2322^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 50047 + ... + 50694.

Almost surely, 232640084 is an apocalyptic number.

It is an amenable number.

32640084 is an abundant number, since it is smaller than the sum of its proper divisors (52688390).

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

32640084 is a wasteful number, since it uses less digits than its factorization.

32640084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100757 (or 100746 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32640084 is about 5713.1500943000. The cubic root of 32640084 is about 319.5830637698.

The spelling of 32640084 in words is "thirty-two million, six hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 100741 201482 302223 402964 604446 906669 1208892 1813338 2720007 3626676 5440014 8160021 10880028 16320042 32640084