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1329984 = 26322309
BaseRepresentation
bin101000100101101000000
32111120101200
411010231000
5320024414
644301200
714206335
oct5045500
92446350
101329984
11829267
12541800
13377496
1426898c
151b4109
hex144b40

1329984 has 42 divisors (see below), whose sum is σ = 3813810. Its totient is φ = 443136.

The previous prime is 1329971. The next prime is 1330001. The reversal of 1329984 is 4899231.

It can be written as a sum of positive squares in only one way, i.e., 1272384 + 57600 = 1128^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 579 + ... + 1730.

It is an arithmetic number, because the mean of its divisors is an integer number (90805).

21329984 is an apocalyptic number.

It is an amenable number.

1329984 is an abundant number, since it is smaller than the sum of its proper divisors (2483826).

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

1329984 is a wasteful number, since it uses less digits than its factorization.

1329984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2314 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 1329984 is about 1153.2493225665. The cubic root of 1329984 is about 109.9720038946.

The spelling of 1329984 in words is "one million, three hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2309 4618 6927 9236 13854 18472 20781 27708 36944 41562 55416 73888 83124 110832 147776 166248 221664 332496 443328 664992 1329984