Search a number
-
+
1123056 = 243211709
BaseRepresentation
bin100010010001011110000
32010001112200
410102023300
5241414211
640023200
712355134
oct4221360
92101480
101123056
116a7850
12461b00
1330423c
142133c4
15172b56
hex1122f0

1123056 has 60 divisors (see below), whose sum is σ = 3433560. Its totient is φ = 339840.

The previous prime is 1123051. The next prime is 1123079. The reversal of 1123056 is 6503211.

It is a super-2 number, since 2×11230562 = 2522509558272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (57226).

21123056 is an apocalyptic number.

1123056 is a gapful number since it is divisible by the number (16) 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 1123056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716780).

1123056 is an abundant number, since it is smaller than the sum of its proper divisors (2310504).

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

1123056 is a wasteful number, since it uses less digits than its factorization.

1123056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1123056 is about 1059.7433651597. The cubic root of 1123056 is about 103.9442501992.

Adding to 1123056 its reverse (6503211), we get a palindrome (7626267).

The spelling of 1123056 in words is "one million, one hundred twenty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 709 792 1418 1584 2127 2836 4254 5672 6381 7799 8508 11344 12762 15598 17016 23397 25524 31196 34032 46794 51048 62392 70191 93588 102096 124784 140382 187176 280764 374352 561528 1123056