Search a number
-
+
13284990 = 23251719457
BaseRepresentation
bin110010101011…
…011001111110
3220222221120200
4302223121332
511400104430
61152424330
7220630515
oct62533176
926887520
1013284990
117554234
1245480a6
1329a1b54
141a9b67c
151276460
hexcab67e

13284990 has 96 divisors (see below), whose sum is σ = 38581920. Its totient is φ = 3151872.

The previous prime is 13284983. The next prime is 13285021. The reversal of 13284990 is 9948231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28842 + ... + 29298.

It is an arithmetic number, because the mean of its divisors is an integer number (401895).

Almost surely, 213284990 is an apocalyptic number.

13284990 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 13284990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19290960).

13284990 is an abundant number, since it is smaller than the sum of its proper divisors (25296930).

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

13284990 is a wasteful number, since it uses less digits than its factorization.

13284990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13284990 is about 3644.8580219262. The cubic root of 13284990 is about 236.8392864382.

The spelling of 13284990 in words is "thirteen million, two hundred eighty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 306 323 342 457 510 570 646 765 855 914 969 1371 1530 1615 1710 1938 2285 2742 2907 3230 4113 4570 4845 5814 6855 7769 8226 8683 9690 13710 14535 15538 17366 20565 23307 26049 29070 38845 41130 43415 46614 52098 69921 77690 78147 86830 116535 130245 139842 147611 156294 233070 260490 295222 349605 390735 442833 699210 738055 781470 885666 1328499 1476110 2214165 2656998 4428330 6642495 13284990