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2864720 = 24535809
BaseRepresentation
bin1010111011011001010000
312101112122202
422323121100
51213132340
6141222332
733230645
oct12733120
95345582
102864720
111687341
12b619a8
13793c01
14547dcc
153b8c15
hex2bb650

2864720 has 20 divisors (see below), whose sum is σ = 6660660. Its totient is φ = 1145856.

The previous prime is 2864717. The next prime is 2864723. The reversal of 2864720 is 274682.

2864720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2864717) and next prime (2864723).

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 1628176 = 1112^2 + 1276^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864723) by changing a digit.

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, 17825 + ... + 17984.

It is an arithmetic number, because the mean of its divisors is an integer number (333033).

22864720 is an apocalyptic number.

2864720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864720 is an abundant number, since it is smaller than the sum of its proper divisors (3795940).

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

2864720 is a wasteful number, since it uses less digits than its factorization.

2864720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35822 (or 35816 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 2864720 is about 1692.5483744933. The cubic root of 2864720 is about 142.0236686064.

The spelling of 2864720 in words is "two million, eight hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 35809 71618 143236 179045 286472 358090 572944 716180 1432360 2864720