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21313530 = 235572179
BaseRepresentation
bin101000101001…
…1011111111010
31111002211200000
41101103133322
520424013110
62040453430
7346106400
oct121233772
944084600
1021313530
1111038197
12717a276
134553274
142b8b470
151d101c0
hex14537fa

21313530 has 144 divisors (see below), whose sum is σ = 67223520. Its totient is φ = 4844448.

The previous prime is 21313493. The next prime is 21313531. The reversal of 21313530 is 3531312.

21313530 is a `hidden beast` number, since 2 + 131 + 3 + 530 = 666.

It is a super-2 number, since 2×213135302 = 908533122121800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21313531) 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, 118981 + ... + 119159.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 221313530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33611760).

21313530 is an abundant number, since it is smaller than the sum of its proper divisors (45909990).

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

21313530 is a wasteful number, since it uses less digits than its factorization.

21313530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 21313530 is about 4616.6578820614. The cubic root of 21313530 is about 277.2586652694.

Adding to 21313530 its reverse (3531312), we get a palindrome (24844842).

The spelling of 21313530 in words is "twenty-one million, three hundred thirteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 179 189 210 243 245 270 294 315 358 378 405 441 486 490 537 567 630 735 810 882 895 945 1074 1134 1215 1253 1323 1470 1611 1701 1790 1890 2205 2430 2506 2646 2685 2835 3222 3402 3759 3969 4410 4833 5370 5670 6265 6615 7518 7938 8055 8505 8771 9666 11277 11907 12530 13230 14499 16110 17010 17542 18795 19845 22554 23814 24165 26313 28998 33831 37590 39690 43497 43855 48330 52626 56385 59535 67662 72495 78939 86994 87710 101493 112770 119070 131565 144990 157878 169155 202986 217485 236817 263130 304479 338310 394695 434970 473634 507465 608958 710451 789390 1014930 1184085 1420902 1522395 2131353 2368170 3044790 3552255 4262706 7104510 10656765 21313530