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10188820 = 225509441
BaseRepresentation
bin100110110111…
…100000010100
3201011122102201
4212313200110
510102020240
61002214244
7152414005
oct46674024
921148381
1010188820
11582a014
1234b4384
1321597b5
1414d31ac
15d63d9a
hex9b7814

10188820 has 12 divisors (see below), whose sum is σ = 21396564. Its totient is φ = 4075520.

The previous prime is 10188811. The next prime is 10188821. The reversal of 10188820 is 2888101.

It can be written as a sum of positive squares in 2 ways, for example, as 5180176 + 5008644 = 2276^2 + 2238^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10188821) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 254701 + ... + 254740.

It is an arithmetic number, because the mean of its divisors is an integer number (1783047).

Almost surely, 210188820 is an apocalyptic number.

10188820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10188820 is an abundant number, since it is smaller than the sum of its proper divisors (11207744).

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

10188820 is a wasteful number, since it uses less digits than its factorization.

10188820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509450 (or 509448 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 10188820 is about 3191.9931077620. The cubic root of 10188820 is about 216.7910239427.

The spelling of 10188820 in words is "ten million, one hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 509441 1018882 2037764 2547205 5094410 10188820