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4260420 = 2232523669
BaseRepresentation
bin10000010000001001000100
322000110012100
4100100021010
52042313140
6231152100
751133023
oct20201104
98013170
104260420
11244aa0a
121515630
13b62278
147cc8ba
15592530
hex410244

4260420 has 36 divisors (see below), whose sum is σ = 12923820. Its totient is φ = 1136064.

The previous prime is 4260413. The next prime is 4260437. The reversal of 4260420 is 240624.

4260420 is a `hidden beast` number, since 42 + 604 + 20 = 666.

4260420 is digitally balanced in base 5, 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 1498176 + 2762244 = 1224^2 + 1662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 48 + 25 + 62 + 0 + 411 + 29 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4260393 and 4260402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11655 + ... + 12014.

It is an arithmetic number, because the mean of its divisors is an integer number (358995).

Almost surely, 24260420 is an apocalyptic number.

It is an amenable number.

4260420 is an abundant number, since it is smaller than the sum of its proper divisors (8663400).

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

4260420 is a wasteful number, since it uses less digits than its factorization.

4260420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23684 (or 23679 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4260420 is about 2064.0784868798. The cubic root of 4260420 is about 162.1128614545.

It can be divided in two parts, 42604 and 20, that added together give a palindrome (42624).

The spelling of 4260420 in words is "four million, two hundred sixty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 23669 47338 71007 94676 118345 142014 213021 236690 284028 355035 426042 473380 710070 852084 1065105 1420140 2130210 4260420