Search a number
-
+
1115226 = 232753167
BaseRepresentation
bin100010000010001011010
32002122210200
410100101122
5241141401
635523030
712323250
oct4202132
92078720
101115226
116a1982
12459476
133007c8
142105d0
15170686
hex11045a

1115226 has 48 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 310752.

The previous prime is 1115207. The next prime is 1115227. The reversal of 1115226 is 6225111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1115199 and 1115208.

It is not an unprimeable number, because it can be changed into a prime (1115227) 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 23 ways as a sum of consecutive naturals, for example, 6595 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (58968).

21115226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

1115226 is an abundant number, since it is smaller than the sum of its proper divisors (1715238).

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

1115226 is a wasteful number, since it uses less digits than its factorization.

1115226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 232 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 1115226 is about 1056.0426127766. The cubic root of 1115226 is about 103.7021185163.

The spelling of 1115226 in words is "one million, one hundred fifteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 167 318 334 371 477 501 742 954 1002 1113 1169 1503 2226 2338 3006 3339 3507 6678 7014 8851 10521 17702 21042 26553 53106 61957 79659 123914 159318 185871 371742 557613 1115226