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21130020 = 22325117389
BaseRepresentation
bin101000010011…
…0101100100100
31110202111221100
41100212230210
520402130040
62032520100
7344413362
oct120465444
943674840
1021130020
1110a2232a
1270b0030
1344ba892
142b40632
151cc5b30
hex1426b24

21130020 has 36 divisors (see below), whose sum is σ = 64094940. Its totient is φ = 5634624.

The previous prime is 21130001. The next prime is 21130027. The reversal of 21130020 is 2003112.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 11985444 = 3024^2 + 3462^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21129984 and 21130011.

It is not an unprimeable number, because it can be changed into a prime (21130027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58515 + ... + 58874.

It is an arithmetic number, because the mean of its divisors is an integer number (1780415).

Almost surely, 221130020 is an apocalyptic number.

21130020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21130020 is an abundant number, since it is smaller than the sum of its proper divisors (42964920).

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

21130020 is a wasteful number, since it uses less digits than its factorization.

21130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117404 (or 117399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 21130020 is about 4596.7401492797. The cubic root of 21130020 is about 276.4606359513.

Adding to 21130020 its reverse (2003112), we get a palindrome (23133132).

The spelling of 21130020 in words is "twenty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 117389 234778 352167 469556 586945 704334 1056501 1173890 1408668 1760835 2113002 2347780 3521670 4226004 5282505 7043340 10565010 21130020