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21142300 = 22521131871
BaseRepresentation
bin101000010100…
…1101100011100
31110210010210011
41100221230130
520403023200
62033053004
7344464234
oct120515434
943703704
1021142300
1110a30583
1270b7164
1344c334a
142b44cc4
151cc95ba
hex1429b1c

21142300 has 36 divisors (see below), whose sum is σ = 46309536. Its totient is φ = 8377600.

The previous prime is 21142291. The next prime is 21142343. The reversal of 21142300 is 324112.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 10365 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 221142300 is an apocalyptic number.

21142300 is a gapful number since it is divisible by the number (20) 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 21142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23154768).

21142300 is an abundant number, since it is smaller than the sum of its proper divisors (25167236).

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

21142300 is a wasteful number, since it uses less digits than its factorization.

21142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1991 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 21142300 is about 4598.0756844576. The cubic root of 21142300 is about 276.5141818724.

Adding to 21142300 its reverse (324112), we get a palindrome (21466412).

The spelling of 21142300 in words is "twenty-one million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 1871 2260 2825 3742 5650 7484 9355 11300 18710 37420 46775 93550 187100 211423 422846 845692 1057115 2114230 4228460 5285575 10571150 21142300