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1123120 = 245101139
BaseRepresentation
bin100010010001100110000
32010001122001
410102030300
5241414440
640023344
712355255
oct4221460
92101561
101123120
116a78a9
12461b54
1330428b
1421342c
15172b9a
hex112330

1123120 has 40 divisors (see below), whose sum is σ = 2656080. Its totient is φ = 441600.

The previous prime is 1123093. The next prime is 1123127. The reversal of 1123120 is 213211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11231202 = 2522797068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1123097 and 1123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123127) 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 7 ways as a sum of consecutive naturals, for example, 8011 + ... + 8149.

It is an arithmetic number, because the mean of its divisors is an integer number (66402).

21123120 is an apocalyptic number.

1123120 is a gapful number since it is divisible by the number (10) 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 1123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328040).

1123120 is an abundant number, since it is smaller than the sum of its proper divisors (1532960).

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

1123120 is a wasteful number, since it uses less digits than its factorization.

1123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1123120 is about 1059.7735607195. The cubic root of 1123120 is about 103.9462246646.

Adding to 1123120 its reverse (213211), we get a palindrome (1336331).

Subtracting from 1123120 its reverse (213211), we obtain a palindrome (909909).

The spelling of 1123120 in words is "one million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 139 202 278 404 505 556 695 808 1010 1112 1390 1616 2020 2224 2780 4040 5560 8080 11120 14039 28078 56156 70195 112312 140390 224624 280780 561560 1123120