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428020 = 22521401
BaseRepresentation
bin1101000011111110100
3210202010121
41220133310
5102144040
613101324
73431605
oct1503764
9722117
10428020
1127263a
12187844
1311ca88
14b1dac
1586c4a
hex687f4

428020 has 12 divisors (see below), whose sum is σ = 898884. Its totient is φ = 171200.

The previous prime is 428003. The next prime is 428023. The reversal of 428020 is 20824.

428020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121104 + 306916 = 348^2 + 554^2 .

It is a super-2 number, since 2×4280202 = 366402240800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 427985 and 428003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428023) by changing a digit.

428020 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 10681 + ... + 10720.

It is an arithmetic number, because the mean of its divisors is an integer number (74907).

2428020 is an apocalyptic number.

It is an amenable number.

428020 is an abundant number, since it is smaller than the sum of its proper divisors (470864).

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

428020 is a wasteful number, since it uses less digits than its factorization.

428020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21410 (or 21408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 428020 is about 654.2323746193. The cubic root of 428020 is about 75.3623942664.

Adding to 428020 its reverse (20824), we get a palindrome (448844).

The spelling of 428020 in words is "four hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 21401 42802 85604 107005 214010 428020