Base | Representation |
---|---|
bin | 101000010100… |
… | …1110001011100 |
3 | 1110210011020000 |
4 | 1100221301130 |
5 | 20403030440 |
6 | 2033054300 |
7 | 344465202 |
oct | 120516134 |
9 | 43704200 |
10 | 21142620 |
11 | 10a30844 |
12 | 70b7390 |
13 | 44c3535 |
14 | 2b45072 |
15 | 1cc9730 |
hex | 1429c5c |
21142620 has 120 divisors (see below), whose sum is σ = 68627328. Its totient is φ = 5443200.
The previous prime is 21142613. The next prime is 21142643. The reversal of 21142620 is 2624112.
21142620 is a `hidden beast` number, since 2 + 1 + 1 + 42 + 620 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 21142593 and 21142602.
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 39 ways as a sum of consecutive naturals, for example, 50010 + ... + 50430.
Almost surely, 221142620 is an apocalyptic number.
21142620 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 21142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34313664).
21142620 is an abundant number, since it is smaller than the sum of its proper divisors (47484708).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21142620 is a wasteful number, since it uses less digits than its factorization.
21142620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 473 (or 462 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 21142620 is about 4598.1104814913. The cubic root of 21142620 is about 276.5155769286.
Adding to 21142620 its reverse (2624112), we get a palindrome (23766732).
The spelling of 21142620 in words is "twenty-one million, one hundred forty-two thousand, six hundred twenty".
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