Search a number
-
+
2260940 = 2251143239
BaseRepresentation
bin1000100111111111001100
311020212102112
420213333030
51034322230
6120243152
725134443
oct10477714
94225375
102260940
111304750
129104b8
13612146
1442bd5a
152e9d95
hex227fcc

2260940 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 799680.

The previous prime is 2260919. The next prime is 2260961. The reversal of 2260940 is 490622.

It is an interprime number because it is at equal distance from previous prime (2260919) and next prime (2260961).

It is a super-2 number, since 2×22609402 = 10223699367200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9341 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

22260940 is an apocalyptic number.

2260940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2260940 is an abundant number, since it is smaller than the sum of its proper divisors (3061300).

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

2260940 is a wasteful number, since it uses less digits than its factorization.

2260940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2260940 is about 1503.6422446846. The cubic root of 2260940 is about 131.2491035464.

The spelling of 2260940 in words is "two million, two hundred sixty thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 239 430 473 478 860 946 956 1195 1892 2365 2390 2629 4730 4780 5258 9460 10277 10516 13145 20554 26290 41108 51385 52580 102770 113047 205540 226094 452188 565235 1130470 2260940