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3200820 = 223577621
BaseRepresentation
bin1100001101011100110100
320000121200220
430031130310
51304411240
6152334340
736130560
oct14153464
96017626
103200820
111896907
1210a43b0
13880b9c
145d46a0
154335d0
hex30d734

3200820 has 48 divisors (see below), whose sum is σ = 10243968. Its totient is φ = 731520.

The previous prime is 3200807. The next prime is 3200837. The reversal of 3200820 is 280023.

3200820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3200820.

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 15 ways as a sum of consecutive naturals, for example, 3391 + ... + 4230.

It is an arithmetic number, because the mean of its divisors is an integer number (213416).

Almost surely, 23200820 is an apocalyptic number.

3200820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200820 is an abundant number, since it is smaller than the sum of its proper divisors (7043148).

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

3200820 is a wasteful number, since it uses less digits than its factorization.

3200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7638 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3200820 is about 1789.0835642865. The cubic root of 3200820 is about 147.3738459782.

Adding to 3200820 its reverse (280023), we get a palindrome (3480843).

The spelling of 3200820 in words is "three million, two hundred thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 7621 15242 22863 30484 38105 45726 53347 76210 91452 106694 114315 152420 160041 213388 228630 266735 320082 457260 533470 640164 800205 1066940 1600410 3200820