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13857690 = 2357211857
BaseRepresentation
bin110100110111…
…001110011010
3222002001011210
4310313032122
512021421230
61213003550
7225534300
oct64671632
928061153
1013857690
117905540
1247835b6
132b42722
141baa270
15133aeb0
hexd3739a

13857690 has 96 divisors (see below), whose sum is σ = 42254784. Its totient is φ = 2876160.

The previous prime is 13857667. The next prime is 13857691. The reversal of 13857690 is 9675831.

It is a super-2 number, since 2×138576902 = 384071144272200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13857691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15742 + ... + 16598.

It is an arithmetic number, because the mean of its divisors is an integer number (440154).

Almost surely, 213857690 is an apocalyptic number.

13857690 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 13857690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127392).

13857690 is an abundant number, since it is smaller than the sum of its proper divisors (28397094).

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

13857690 is a wasteful number, since it uses less digits than its factorization.

13857690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 13857690 is about 3722.5918390283. The cubic root of 13857690 is about 240.1948071108.

The spelling of 13857690 in words is "thirteen million, eight hundred fifty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 857 1078 1155 1470 1617 1714 2310 2571 2695 3234 4285 5142 5390 5999 8085 8570 9427 11998 12855 16170 17997 18854 25710 28281 29995 35994 41993 47135 56562 59990 65989 83986 89985 94270 125979 131978 141405 179970 197967 209965 251958 282810 329945 395934 419930 461923 629895 659890 923846 989835 1259790 1385769 1979670 2309615 2771538 4619230 6928845 13857690