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26121690 = 2345717271
BaseRepresentation
bin110001110100…
…1010111011010
31211011010020000
41203221113122
523141343230
62331513430
7435013350
oct143512732
954133200
1026121690
1113821681
1288b8876
13554792a
14367d7d0
15245eb60
hex18e95da

26121690 has 160 divisors (see below), whose sum is σ = 85307904. Its totient is φ = 5598720.

The previous prime is 26121679. The next prime is 26121701. The reversal of 26121690 is 9612162.

It is an interprime number because it is at equal distance from previous prime (26121679) and next prime (26121701).

It is a super-2 number, since 2×261216902 = 1364685376912200, 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 79 ways as a sum of consecutive naturals, for example, 96255 + ... + 96525.

Almost surely, 226121690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26121690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653952).

26121690 is an abundant number, since it is smaller than the sum of its proper divisors (59186214).

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

26121690 is a wasteful number, since it uses less digits than its factorization.

26121690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 26121690 is about 5110.9382700244. The cubic root of 26121690 is about 296.7110750057.

The spelling of 26121690 in words is "twenty-six million, one hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 271 306 315 357 378 405 459 510 542 567 595 630 714 765 810 813 918 945 1071 1134 1190 1355 1377 1530 1626 1785 1890 1897 2142 2295 2439 2710 2754 2835 3213 3570 3794 4065 4590 4607 4878 5355 5670 5691 6426 6885 7317 8130 9214 9485 9639 10710 11382 12195 13770 13821 14634 16065 17073 18970 19278 21951 23035 24390 27642 28455 32130 32249 34146 36585 41463 43902 46070 48195 51219 56910 64498 69105 73170 82926 85365 96390 96747 102438 109755 124389 138210 153657 161245 170730 193494 207315 219510 248778 256095 290241 307314 322490 373167 414630 483735 512190 580482 621945 746334 768285 870723 967470 1243890 1451205 1536570 1741446 1865835 2612169 2902410 3731670 4353615 5224338 8707230 13060845 26121690