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4284020 = 2251316477
BaseRepresentation
bin10000010101111001110100
322001122120102
4100111321310
52044042040
6231453232
751261566
oct20257164
98048512
104284020
112466714
121527218
13b6cc30
147d7336
15599515
hex415e74

4284020 has 24 divisors (see below), whose sum is σ = 9689064. Its totient is φ = 1581696.

The previous prime is 4284019. The next prime is 4284023. The reversal of 4284020 is 204824.

It can be written as a sum of positive squares in 4 ways, for example, as 7396 + 4276624 = 86^2 + 2068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4283983 and 4284001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4284023) 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 7 ways as a sum of consecutive naturals, for example, 7979 + ... + 8498.

It is an arithmetic number, because the mean of its divisors is an integer number (403711).

Almost surely, 24284020 is an apocalyptic number.

It is an amenable number.

4284020 is an abundant number, since it is smaller than the sum of its proper divisors (5405044).

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

4284020 is a wasteful number, since it uses less digits than its factorization.

4284020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16499 (or 16497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4284020 is about 2069.7874286989. The cubic root of 4284020 is about 162.4116442750.

Adding to 4284020 its reverse (204824), we get a palindrome (4488844).

The spelling of 4284020 in words is "four million, two hundred eighty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 16477 32954 65908 82385 164770 214201 329540 428402 856804 1071005 2142010 4284020