Search a number
-
+
1221768 = 233271239
BaseRepresentation
bin100101010010010001000
32022001221200
410222102020
5303044033
642104200
713246002
oct4522210
92261850
101221768
11764a29
124ab060
1333a152
1423b372
15192013
hex12a488

1221768 has 48 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 399840.

The previous prime is 1221767. The next prime is 1221791. The reversal of 1221768 is 8671221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1221761) 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 11 ways as a sum of consecutive naturals, for example, 4993 + ... + 5231.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

21221768 is an apocalyptic number.

1221768 is a gapful number since it is divisible by the number (18) 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 1221768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800).

1221768 is an abundant number, since it is smaller than the sum of its proper divisors (2147832).

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

1221768 is a wasteful number, since it uses less digits than its factorization.

1221768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 1221768 is about 1105.3361479659. The cubic root of 1221768 is about 106.9045645099.

Adding to 1221768 its reverse (8671221), we get a palindrome (9892989).

The spelling of 1221768 in words is "one million, two hundred twenty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 239 284 426 478 568 639 717 852 956 1278 1434 1704 1912 2151 2556 2868 4302 5112 5736 8604 16969 17208 33938 50907 67876 101814 135752 152721 203628 305442 407256 610884 1221768