Search a number
-
+
13609890 = 2335719379
BaseRepresentation
bin110011111010…
…101110100010
3221121110021000
4303322232202
511441004030
61203412430
7223452660
oct63725642
927543230
1013609890
117756348
124684116
132a869b8
141b43c30
1512dc860
hexcfaba2

13609890 has 128 divisors (see below), whose sum is σ = 43776000. Its totient is φ = 2939328.

The previous prime is 13609889. The next prime is 13609927. The reversal of 13609890 is 9890631.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35721 + ... + 36099.

It is an arithmetic number, because the mean of its divisors is an integer number (342000).

Almost surely, 213609890 is an apocalyptic number.

13609890 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 13609890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888000).

13609890 is an abundant number, since it is smaller than the sum of its proper divisors (30166110).

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

13609890 is a wasteful number, since it uses less digits than its factorization.

13609890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

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

The square root of 13609890 is about 3689.1584406203. The cubic root of 13609890 is about 238.7544848988.

The spelling of 13609890 in words is "thirteen million, six hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 379 399 513 570 630 665 758 798 855 945 1026 1137 1197 1330 1710 1890 1895 1995 2274 2394 2565 2653 3411 3591 3790 3990 5130 5306 5685 5985 6822 7182 7201 7959 10233 11370 11970 13265 14402 15918 17055 17955 20466 21603 23877 26530 34110 35910 36005 39795 43206 47754 50407 51165 64809 71631 72010 79590 100814 102330 108015 119385 129618 143262 151221 194427 216030 238770 252035 302442 324045 358155 388854 453663 504070 648090 716310 756105 907326 972135 1360989 1512210 1944270 2268315 2721978 4536630 6804945 13609890