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13816530 = 23257213241
BaseRepresentation
bin110100101101…
…001011010010
3221222221201100
4310231023102
512014112110
61212045230
7225303300
oct64551322
927887640
1013816530
117887622
124763816
132b29a80
141b99270
15132dbc0
hexd2d2d2

13816530 has 144 divisors (see below), whose sum is σ = 45189144. Its totient is φ = 2903040.

The previous prime is 13816511. The next prime is 13816531. The reversal of 13816530 is 3561831.

13816530 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 653 + 0 = 666.

13816530 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10323369 + 3493161 = 3213^2 + 1869^2 .

13816530 is an undulating number in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13816494 and 13816503.

It is not an unprimeable number, because it can be changed into a prime (13816531) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57210 + ... + 57450.

Almost surely, 213816530 is an apocalyptic number.

13816530 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 13816530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22594572).

13816530 is an abundant number, since it is smaller than the sum of its proper divisors (31372614).

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

13816530 is a wasteful number, since it uses less digits than its factorization.

13816530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13816530 is about 3717.0593215605. The cubic root of 13816530 is about 239.9567630445.

The spelling of 13816530 in words is "thirteen million, eight hundred sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 241 245 273 294 315 390 441 455 482 490 546 585 630 637 723 735 819 882 910 1170 1205 1274 1365 1446 1470 1638 1687 1911 2169 2205 2410 2730 3133 3185 3374 3615 3822 4095 4338 4410 5061 5733 6266 6370 7230 8190 8435 9399 9555 10122 10845 11466 11809 15183 15665 16870 18798 19110 21690 21931 23618 25305 28197 28665 30366 31330 35427 43862 46995 50610 56394 57330 59045 65793 70854 75915 93990 106281 109655 118090 131586 140985 151830 153517 177135 197379 212562 219310 281970 307034 328965 354270 394758 460551 531405 657930 767585 921102 986895 1062810 1381653 1535170 1973790 2302755 2763306 4605510 6908265 13816530