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2820864 = 2833673
BaseRepresentation
bin1010110000101100000000
312022022111110
422300230000
51210231424
6140243320
732656044
oct12605400
95268443
102820864
1116573a2
12b40540
13779c67
14536024
153aac29
hex2b0b00

2820864 has 36 divisors (see below), whose sum is σ = 7509656. Its totient is φ = 940032.

The previous prime is 2820863. The next prime is 2820869. The reversal of 2820864 is 4680282.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2820863) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1069 + ... + 2604.

22820864 is an apocalyptic number.

2820864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2820864 is an abundant number, since it is smaller than the sum of its proper divisors (4688792).

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

2820864 is an equidigital number, since it uses as much as digits as its factorization.

2820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2820864 is about 1679.5427949296. The cubic root of 2820864 is about 141.2951916379.

The spelling of 2820864 in words is "two million, eight hundred twenty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 3673 7346 11019 14692 22038 29384 44076 58768 88152 117536 176304 235072 352608 470144 705216 940288 1410432 2820864