Search a number
-
+
1220268 = 223773199
BaseRepresentation
bin100101001111010101100
32021222220010
410221322230
5303022033
642053220
713241430
oct4517254
92258803
101220268
11763895
124aa210
1333956a
1423a9c0
15191863
hex129eac

1220268 has 48 divisors (see below), whose sum is σ = 3315200. Its totient is φ = 342144.

The previous prime is 1220257. The next prime is 1220309. The reversal of 1220268 is 8620221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6033 + ... + 6231.

21220268 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 1220268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657600).

1220268 is an abundant number, since it is smaller than the sum of its proper divisors (2094932).

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

1220268 is a wasteful number, since it uses less digits than its factorization.

1220268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1220268 is about 1104.6574129566. The cubic root of 1220268 is about 106.8607966488.

Adding to 1220268 its reverse (8620221), we get a palindrome (9840489).

The spelling of 1220268 in words is "one million, two hundred twenty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 199 219 292 398 438 511 597 796 876 1022 1194 1393 1533 2044 2388 2786 3066 4179 5572 6132 8358 14527 16716 29054 43581 58108 87162 101689 174324 203378 305067 406756 610134 1220268