Search a number
-
+
11272446 = 234149467
BaseRepresentation
bin101011000000…
…000011111110
3210012200220000
4223000003332
510341204241
61041335130
7164546163
oct53000376
923180800
1011272446
1163aa179
1239374a6
132448ab3
1416d606a
15ec9eb6
hexac00fe

11272446 has 40 divisors (see below), whose sum is σ = 25482600. Its totient is φ = 3724272.

The previous prime is 11272421. The next prime is 11272447. The reversal of 11272446 is 64427211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11272447) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 23905 + ... + 24371.

It is an arithmetic number, because the mean of its divisors is an integer number (637065).

Almost surely, 211272446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11272446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741300).

11272446 is an abundant number, since it is smaller than the sum of its proper divisors (14210154).

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

11272446 is a wasteful number, since it uses less digits than its factorization.

11272446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 11272446 is about 3357.4463510233. The cubic root of 11272446 is about 224.2191599741.

Adding to 11272446 its reverse (64427211), we get a palindrome (75699657).

The spelling of 11272446 in words is "eleven million, two hundred seventy-two thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 298 447 467 894 934 1341 1401 2682 2802 4023 4203 8046 8406 12069 12609 24138 25218 37827 69583 75654 139166 208749 417498 626247 1252494 1878741 3757482 5636223 11272446