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2261780 = 225113089
BaseRepresentation
bin1000101000001100010100
311020220120122
420220030110
51034334110
6120251112
725140053
oct10501424
94226518
102261780
111305344
12910a98
13612641
1442c39a
152ea255
hex228314

2261780 has 12 divisors (see below), whose sum is σ = 4749780. Its totient is φ = 904704.

The previous prime is 2261771. The next prime is 2261789. The reversal of 2261780 is 871622.

It is an interprime number because it is at equal distance from previous prime (2261771) and next prime (2261789).

It can be written as a sum of positive squares in 2 ways, for example, as 925444 + 1336336 = 962^2 + 1156^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56525 + ... + 56564.

It is an arithmetic number, because the mean of its divisors is an integer number (395815).

22261780 is an apocalyptic number.

2261780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261780 is an abundant number, since it is smaller than the sum of its proper divisors (2488000).

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

2261780 is a wasteful number, since it uses less digits than its factorization.

2261780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113098 (or 113096 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 2261780 is about 1503.9215405067. The cubic root of 2261780 is about 131.2653557242.

The spelling of 2261780 in words is "two million, two hundred sixty-one thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 113089 226178 452356 565445 1130890 2261780