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2263960 = 23556599
BaseRepresentation
bin1000101000101110011000
311021000120101
420220232120
51034421320
6120305144
725146316
oct10505630
94230511
102263960
111306a46
129121b4
1361362a
1442d0b6
152eac0a
hex228b98

2263960 has 16 divisors (see below), whose sum is σ = 5094000. Its totient is φ = 905568.

The previous prime is 2263957. The next prime is 2263969. The reversal of 2263960 is 693622.

2263960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 211 + 221 + 6 + 310 + 95 + 66 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28260 + ... + 28339.

It is an arithmetic number, because the mean of its divisors is an integer number (318375).

22263960 is an apocalyptic number.

2263960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263960 is an abundant number, since it is smaller than the sum of its proper divisors (2830040).

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

2263960 is a wasteful number, since it uses less digits than its factorization.

2263960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56610 (or 56606 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 2263960 is about 1504.6461378012. The cubic root of 2263960 is about 131.3075152309.

It can be divided in two parts, 2263 and 960, that added together give a palindrome (3223).

The spelling of 2263960 in words is "two million, two hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 56599 113198 226396 282995 452792 565990 1131980 2263960