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21313410 = 2351723279
BaseRepresentation
bin101000101001…
…1011110000010
31111002211111120
41101103132002
520424012120
62040453110
7346106136
oct121233602
944084446
1021313410
1111038098
12717a196
1345531b1
142b8b3c6
151d10140
hex1453782

21313410 has 96 divisors (see below), whose sum is σ = 57335040. Its totient is φ = 5051904.

The previous prime is 21313379. The next prime is 21313429. The reversal of 21313410 is 1431312.

It is a super-2 number, since 2×213134102 = 908522891656200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21313410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269751 + ... + 269829.

It is an arithmetic number, because the mean of its divisors is an integer number (597240).

Almost surely, 221313410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21313410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667520).

21313410 is an abundant number, since it is smaller than the sum of its proper divisors (36021630).

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

21313410 is a wasteful number, since it uses less digits than its factorization.

21313410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 21313410 is about 4616.6448856285. The cubic root of 21313410 is about 277.2581449254.

Adding to 21313410 its reverse (1431312), we get a palindrome (22744722).

The spelling of 21313410 in words is "twenty-one million, three hundred thirteen thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 79 85 102 115 138 158 170 230 237 255 345 391 395 474 510 529 690 782 790 1058 1173 1185 1343 1587 1817 1955 2346 2370 2645 2686 3174 3634 3910 4029 5290 5451 5865 6715 7935 8058 8993 9085 10902 11730 13430 15870 17986 18170 20145 26979 27255 30889 40290 41791 44965 53958 54510 61778 83582 89930 92667 125373 134895 154445 185334 208955 250746 269790 308890 417910 463335 626865 710447 926670 1253730 1420894 2131341 3552235 4262682 7104470 10656705 21313410