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10520200 = 2352232287
BaseRepresentation
bin101000001000…
…011010001000
3201210111000001
4220020122020
510143121300
61013252344
7155264065
oct50103210
921714001
1010520200
115a35a89
1236340b4
132244592
14157bc6c
15dcc16a
hexa08688

10520200 has 48 divisors (see below), whose sum is σ = 25534080. Its totient is φ = 4023360.

The previous prime is 10520189. The next prime is 10520201. The reversal of 10520200 is 202501.

It is a super-2 number, since 2×105202002 = 221349216080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3457 + ... + 5743.

It is an arithmetic number, because the mean of its divisors is an integer number (531960).

Almost surely, 210520200 is an apocalyptic number.

10520200 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 10520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767040).

10520200 is an abundant number, since it is smaller than the sum of its proper divisors (15013880).

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

10520200 is a wasteful number, since it uses less digits than its factorization.

10520200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10520200 is about 3243.4857792196. The cubic root of 10520200 is about 219.1162897189.

Adding to 10520200 its reverse (202501), we get a palindrome (10722701).

The spelling of 10520200 in words is "ten million, five hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2287 2300 4574 4600 9148 11435 18296 22870 45740 52601 57175 91480 105202 114350 210404 228700 263005 420808 457400 526010 1052020 1315025 2104040 2630050 5260100 10520200