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1133220 = 22351117101
BaseRepresentation
bin100010100101010100100
32010120111010
410110222210
5242230340
640142220
712426564
oct4245244
92116433
101133220
11704450
12467970
13308a5a
14216da4
15175b80
hex114aa4

1133220 has 96 divisors (see below), whose sum is σ = 3701376. Its totient is φ = 256000.

The previous prime is 1133219. The next prime is 1133227. The reversal of 1133220 is 223311.

1133220 = T241 + T242 + ... + T274.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1133196 and 1133205.

It is not an unprimeable number, because it can be changed into a prime (1133227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11170 + ... + 11270.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

21133220 is an apocalyptic number.

1133220 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 1133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688).

1133220 is an abundant number, since it is smaller than the sum of its proper divisors (2568156).

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

1133220 is a wasteful number, since it uses less digits than its factorization.

1133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1133220 is about 1064.5280644492. The cubic root of 1133220 is about 104.2568846847.

Adding to 1133220 its reverse (223311), we get a palindrome (1356531).

Subtracting from 1133220 its reverse (223311), we obtain a palindrome (909909).

It can be divided in two parts, 113 and 3220, that added together give a palindrome (3333).

The spelling of 1133220 in words is "one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 101 102 110 132 165 170 187 202 204 220 255 303 330 340 374 404 505 510 561 606 660 748 935 1010 1020 1111 1122 1212 1515 1717 1870 2020 2222 2244 2805 3030 3333 3434 3740 4444 5151 5555 5610 6060 6666 6868 8585 10302 11110 11220 13332 16665 17170 18887 20604 22220 25755 33330 34340 37774 51510 56661 66660 75548 94435 103020 113322 188870 226644 283305 377740 566610 1133220