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12108690 = 236511151
BaseRepresentation
bin101110001100…
…001110010010
3211210012000000
4232030032102
511044434230
61111310430
7204631206
oct56141622
924705000
1012108690
116920490
12407b416
13267c609
141872b06
1510e2b60
hexb8c392

12108690 has 112 divisors (see below), whose sum is σ = 35885376. Its totient is φ = 2916000.

The previous prime is 12108673. The next prime is 12108713. The reversal of 12108690 is 9680121.

It is a super-2 number, since 2×121086902 = 293240747032200, which contains 22 as substring.

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

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 55 ways as a sum of consecutive naturals, for example, 80115 + ... + 80265.

Almost surely, 212108690 is an apocalyptic number.

12108690 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 12108690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17942688).

12108690 is an abundant number, since it is smaller than the sum of its proper divisors (23776686).

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

12108690 is a wasteful number, since it uses less digits than its factorization.

12108690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12108690 is about 3479.7543016713. The cubic root of 12108690 is about 229.6319886675.

The spelling of 12108690 in words is "twelve million, one hundred eight 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 99 110 135 151 162 165 198 243 270 297 302 330 405 453 486 495 594 729 755 810 891 906 990 1215 1359 1458 1485 1510 1661 1782 2265 2430 2673 2718 2970 3322 3645 4077 4455 4530 4983 5346 6795 7290 8019 8154 8305 8910 9966 12231 13365 13590 14949 16038 16610 20385 24462 24915 26730 29898 36693 40095 40770 44847 49830 61155 73386 74745 80190 89694 110079 122310 134541 149490 183465 220158 224235 269082 366930 403623 448470 550395 672705 807246 1100790 1210869 1345410 2018115 2421738 4036230 6054345 12108690