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10563420 = 2235723593
BaseRepresentation
bin101000010010…
…111101011100
3201212200021210
4220102331130
510201012140
61014224420
7155534100
oct50227534
921780253
1010563420
115a654aa
123655110
13225b15a
14158d900
15dd9d80
hexa12f5c

10563420 has 72 divisors (see below), whose sum is σ = 34416144. Its totient is φ = 2413824.

The previous prime is 10563407. The next prime is 10563433. The reversal of 10563420 is 2436501.

It is a happy number.

10563420 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 is an interprime number because it is at equal distance from previous prime (10563407) and next prime (10563433).

It is a super-2 number, since 2×105634202 = 223171684192800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (478002).

Almost surely, 210563420 is an apocalyptic number.

10563420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10563420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208072).

10563420 is an abundant number, since it is smaller than the sum of its proper divisors (23852724).

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

10563420 is a wasteful number, since it uses less digits than its factorization.

10563420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3619 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10563420 is about 3250.1415353797. The cubic root of 10563420 is about 219.4159439329.

Adding to 10563420 its reverse (2436501), we get a palindrome (12999921).

The spelling of 10563420 in words is "ten million, five hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3593 7186 10779 14372 17965 21558 25151 35930 43116 50302 53895 71860 75453 100604 107790 125755 150906 176057 215580 251510 301812 352114 377265 503020 528171 704228 754530 880285 1056342 1509060 1760570 2112684 2640855 3521140 5281710 10563420