Search a number
-
+
11017140 = 22351391321
BaseRepresentation
bin101010000001…
…101110110100
3202201201200020
4222001232310
510310022030
61032045140
7162433641
oct52015664
922651606
1011017140
116245382
1238337b0
132389824
14166adc8
15e79510
hexa81bb4

11017140 has 48 divisors (see below), whose sum is σ = 31093440. Its totient is φ = 2914560.

The previous prime is 11017133. The next prime is 11017177. The reversal of 11017140 is 4171011.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 7680 + ... + 9000.

It is an arithmetic number, because the mean of its divisors is an integer number (647780).

Almost surely, 211017140 is an apocalyptic number.

11017140 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 11017140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15546720).

11017140 is an abundant number, since it is smaller than the sum of its proper divisors (20076300).

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

11017140 is a wasteful number, since it uses less digits than its factorization.

11017140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 11017140 is about 3319.2077367950. The cubic root of 11017140 is about 222.5134612905.

Adding to 11017140 its reverse (4171011), we get a palindrome (15188151).

The spelling of 11017140 in words is "eleven million, seventeen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1321 1390 1668 2085 2642 2780 3963 4170 5284 6605 7926 8340 13210 15852 19815 26420 39630 79260 183619 367238 550857 734476 918095 1101714 1836190 2203428 2754285 3672380 5508570 11017140