[go: up one dir, main page]

Search a number
-
+
2261056 = 2673103
BaseRepresentation
bin1000101000000001000000
311020212120211
420220001000
51034323211
6120243504
725135000
oct10500100
94225524
102261056
111304846
12910594
13612205
1442c000
152e9e21
hex228040

2261056 has 56 divisors (see below), whose sum is σ = 5283200. Its totient is φ = 959616.

The previous prime is 2261053. The next prime is 2261071. The reversal of 2261056 is 6501622.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×22610562 = 10224748470272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21901 + ... + 22003.

22261056 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 2261056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641600).

2261056 is an abundant number, since it is smaller than the sum of its proper divisors (3022144).

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

2261056 is an equidigital number, since it uses as much as digits as its factorization.

2261056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2261056 is about 1503.6808171949. The cubic root of 2261056 is about 131.2513481343.

Adding to 2261056 its reverse (6501622), we get a palindrome (8762678).

The spelling of 2261056 in words is "two million, two hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 103 112 196 206 224 343 392 412 448 686 721 784 824 1372 1442 1568 1648 2744 2884 3136 3296 5047 5488 5768 6592 10094 10976 11536 20188 21952 23072 35329 40376 46144 70658 80752 141316 161504 282632 323008 565264 1130528 2261056