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12695940 = 2234517461
BaseRepresentation
bin110000011011…
…100110000100
3212220000120000
4300123212010
511222232230
61132041300
7212625255
oct60334604
925800500
1012695940
117191714
124303230
1328269ba
141986b2c
1511abb60
hexc1b984

12695940 has 120 divisors (see below), whose sum is σ = 42261912. Its totient is φ = 3179520.

The previous prime is 12695911. The next prime is 12695959. The reversal of 12695940 is 4959621.

12695940 is a `hidden beast` number, since 1 + 2 + 69 + 594 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1726596 + 10969344 = 1314^2 + 3312^2 .

It is a super-2 number, since 2×126959402 = 322373784967200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12695895 and 12695904.

It is a congruent 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, 27310 + ... + 27770.

Almost surely, 212695940 is an apocalyptic number.

12695940 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 12695940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21130956).

12695940 is an abundant number, since it is smaller than the sum of its proper divisors (29565972).

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

12695940 is a wasteful number, since it uses less digits than its factorization.

12695940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 12695940 is about 3563.1362589719. The cubic root of 12695940 is about 233.2857907672.

The spelling of 12695940 in words is "twelve million, six hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 461 510 540 612 765 810 918 922 1020 1377 1383 1530 1620 1836 1844 2295 2305 2754 2766 3060 4149 4590 4610 5508 5532 6885 6915 7837 8298 9180 9220 12447 13770 13830 15674 16596 20745 23511 24894 27540 27660 31348 37341 39185 41490 47022 49788 62235 70533 74682 78370 82980 94044 117555 124470 141066 149364 156740 186705 211599 235110 248940 282132 352665 373410 423198 470220 634797 705330 746820 846396 1057995 1269594 1410660 2115990 2539188 3173985 4231980 6347970 12695940