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2260420 = 225113021
BaseRepresentation
bin1000100111110111000100
311020211201021
420213313010
51034313140
6120240524
725133101
oct10476704
94224637
102260420
111304318
12910144
13611b36
1442baa8
152e9b4a
hex227dc4

2260420 has 12 divisors (see below), whose sum is σ = 4746924. Its totient is φ = 904160.

The previous prime is 2260409. The next prime is 2260421. The reversal of 2260420 is 240622.

2260420 is digitally balanced in base 2, 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 1272384 + 988036 = 1128^2 + 994^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2260394 and 2260403.

It is not an unprimeable number, because it can be changed into a prime (2260421) 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, 56491 + ... + 56530.

It is an arithmetic number, because the mean of its divisors is an integer number (395577).

22260420 is an apocalyptic number.

2260420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260420 is an abundant number, since it is smaller than the sum of its proper divisors (2486504).

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

2260420 is a wasteful number, since it uses less digits than its factorization.

2260420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113030 (or 113028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2260420 is about 1503.4693212700. The cubic root of 2260420 is about 131.2390406571.

The spelling of 2260420 in words is "two million, two hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 113021 226042 452084 565105 1130210 2260420