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2260872 = 23351163
BaseRepresentation
bin1000100111111110001000
311020212100000
420213332020
51034321442
6120243000
725134315
oct10477610
94225300
102260872
111304699
12910460
136120c3
1442bd0c
152e9d4c
hex227f88

2260872 has 48 divisors (see below), whose sum is σ = 6355440. Its totient is φ = 752976.

The previous prime is 2260859. The next prime is 2260879. The reversal of 2260872 is 2780622.

2260872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22608722 = 10223084400768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2260879) 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 11 ways as a sum of consecutive naturals, for example, 1363 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

22260872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177720).

2260872 is an abundant number, since it is smaller than the sum of its proper divisors (4094568).

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

2260872 is a wasteful number, since it uses less digits than its factorization.

2260872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2260872 is about 1503.6196327529. The cubic root of 2260872 is about 131.2477877178.

The spelling of 2260872 in words is "two million, two hundred sixty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1163 1944 2326 3489 4652 6978 9304 10467 13956 20934 27912 31401 41868 62802 83736 94203 125604 188406 251208 282609 376812 565218 753624 1130436 2260872