Search a number
-
+
11013040 = 2452947101
BaseRepresentation
bin101010000000…
…101110110000
3202201112001101
4222000232300
510304404130
61032014144
7162415663
oct52005660
922645041
1011013040
116242295
123831354
1323879bc
1416696da
15e781ca
hexa80bb0

11013040 has 80 divisors (see below), whose sum is σ = 27319680. Its totient is φ = 4121600.

The previous prime is 11013017. The next prime is 11013047. The reversal of 11013040 is 4031011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11013047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108990 + ... + 109090.

It is an arithmetic number, because the mean of its divisors is an integer number (341496).

Almost surely, 211013040 is an apocalyptic number.

11013040 is a gapful number since it is divisible by the number (10) 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 11013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13659840).

11013040 is an abundant number, since it is smaller than the sum of its proper divisors (16306640).

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

11013040 is a wasteful number, since it uses less digits than its factorization.

11013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11013040 is about 3318.5900620595. The cubic root of 11013040 is about 222.4858552638.

Adding to 11013040 its reverse (4031011), we get a palindrome (15044051).

The spelling of 11013040 in words is "eleven million, thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 47 58 80 94 101 116 145 188 202 232 235 290 376 404 464 470 505 580 752 808 940 1010 1160 1363 1616 1880 2020 2320 2726 2929 3760 4040 4747 5452 5858 6815 8080 9494 10904 11716 13630 14645 18988 21808 23432 23735 27260 29290 37976 46864 47470 54520 58580 75952 94940 109040 117160 137663 189880 234320 275326 379760 550652 688315 1101304 1376630 2202608 2753260 5506520 11013040