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11217690 = 2345111259
BaseRepresentation
bin101010110010…
…101100011010
3210002220210000
4222302230122
510332431230
61040233430
7164230431
oct52625432
923086700
1011217690
116372020
12390b876
132429bb3
1416c0118
15eb8b60
hexab2b1a

11217690 has 80 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 2717280.

The previous prime is 11217683. The next prime is 11217737. The reversal of 11217690 is 9671211.

11217690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112176902 = 251673137872200, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8281 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 211217690 is an apocalyptic number.

11217690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11217690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

11217690 is an abundant number, since it is smaller than the sum of its proper divisors (21713670).

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

11217690 is a wasteful number, since it uses less digits than its factorization.

11217690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11217690 is about 3349.2820126111. The cubic root of 11217690 is about 223.8555217349.

The spelling of 11217690 in words is "eleven million, two hundred seventeen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1259 1485 1782 2518 2970 3777 4455 6295 7554 8910 11331 12590 13849 18885 22662 27698 33993 37770 41547 56655 67986 69245 83094 101979 113310 124641 138490 169965 203958 207735 249282 339930 373923 415470 509895 623205 747846 1019790 1121769 1246410 1869615 2243538 3739230 5608845 11217690