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11008140 = 223511131283
BaseRepresentation
bin101001111111…
…100010001100
3202201021022220
4221333202030
510304230030
61031535340
7162365463
oct51774214
922637286
1011008140
116239640
12382a550
1323856c0
1416679da
15e76a10
hexa7f88c

11008140 has 96 divisors (see below), whose sum is σ = 36239616. Its totient is φ = 2461440.

The previous prime is 11008117. The next prime is 11008147. The reversal of 11008140 is 4180011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11008147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7939 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (377496).

Almost surely, 211008140 is an apocalyptic number.

11008140 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 11008140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18119808).

11008140 is an abundant number, since it is smaller than the sum of its proper divisors (25231476).

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

11008140 is a wasteful number, since it uses less digits than its factorization.

11008140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11008140 is about 3317.8517145888. The cubic root of 11008140 is about 222.4528537064.

Adding to 11008140 its reverse (4180011), we get a palindrome (15188151).

The spelling of 11008140 in words is "eleven million, eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1283 1430 1716 2145 2566 2860 3849 4290 5132 6415 7698 8580 12830 14113 15396 16679 19245 25660 28226 33358 38490 42339 50037 56452 66716 70565 76980 83395 84678 100074 141130 166790 169356 183469 200148 211695 250185 282260 333580 366938 423390 500370 550407 733876 846780 917345 1000740 1100814 1834690 2201628 2752035 3669380 5504070 11008140