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13906890 = 23555997
BaseRepresentation
bin110101000011…
…001111001010
3222011112200000
4311003033022
512030010030
61214023430
7226130604
oct65031712
928145600
1013906890
1179394a8
1247a7b76
132b5bc3a
141bc0174
15134a860
hexd433ca

13906890 has 96 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 3608064.

The previous prime is 13906889. The next prime is 13906891. The reversal of 13906890 is 9860931.

13906890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13906889) and next prime (13906891).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13906891) 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, 143322 + ... + 143418.

It is an arithmetic number, because the mean of its divisors is an integer number (401310).

Almost surely, 213906890 is an apocalyptic number.

13906890 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 13906890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

13906890 is an abundant number, since it is smaller than the sum of its proper divisors (24618870).

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

13906890 is an equidigital number, since it uses as much as digits as its factorization.

13906890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 13906890 is about 3729.1942829517. The cubic root of 13906890 is about 240.4787319306.

The spelling of 13906890 in words is "thirteen million, nine hundred six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 97 118 135 162 177 194 243 270 291 295 354 405 485 486 531 582 590 810 873 885 970 1062 1215 1455 1593 1746 1770 2430 2619 2655 2910 3186 4365 4779 5238 5310 5723 7857 7965 8730 9558 11446 13095 14337 15714 15930 17169 23571 23895 26190 28615 28674 34338 39285 47142 47790 51507 57230 71685 78570 85845 103014 117855 143370 154521 171690 235710 257535 309042 463563 515070 772605 927126 1390689 1545210 2317815 2781378 4635630 6953445 13906890