Search a number
-
+
1122336 = 2534433
BaseRepresentation
bin100010010000000100000
32010000120000
410102000200
5241403321
640020000
712353055
oct4220040
92100500
101122336
116a7256
12461600
13303b07
1421302c
15172826
hex112020

1122336 has 60 divisors (see below), whose sum is σ = 3308382. Its totient is φ = 373248.

The previous prime is 1122287. The next prime is 1122367. The reversal of 1122336 is 6332211.

It can be written as a sum of positive squares in only one way, i.e., 1089936 + 32400 = 1044^2 + 180^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2376 + ... + 2808.

21122336 is an apocalyptic number.

1122336 is a gapful number since it is divisible by the number (16) 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 1122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654191).

1122336 is an abundant number, since it is smaller than the sum of its proper divisors (2186046).

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

1122336 is an equidigital number, since it uses as much as digits as its factorization.

1122336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 438 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 1122336 is about 1059.4036058085. The cubic root of 1122336 is about 103.9220322928.

Adding to 1122336 its reverse (6332211), we get a palindrome (7454547).

The spelling of 1122336 in words is "one million, one hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 433 648 864 866 1296 1299 1732 2592 2598 3464 3897 5196 6928 7794 10392 11691 13856 15588 20784 23382 31176 35073 41568 46764 62352 70146 93528 124704 140292 187056 280584 374112 561168 1122336