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21850020 = 2233543941
BaseRepresentation
bin101001101011…
…0011110100100
31112010002121000
41103112132210
521043200040
62100153300
7353502453
oct123263644
945102530
1021850020
1111374275
127398830
1346b050a
142c8ab9a
151db9130
hex14d67a4

21850020 has 96 divisors (see below), whose sum is σ = 69632640. Its totient is φ = 5685120.

The previous prime is 21849979. The next prime is 21850027. The reversal of 21850020 is 2005812.

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 = 21849975 and 21850002.

It is not an unprimeable number, because it can be changed into a prime (21850027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22750 + ... + 23690.

It is an arithmetic number, because the mean of its divisors is an integer number (725340).

Almost surely, 221850020 is an apocalyptic number.

21850020 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 21850020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34816320).

21850020 is an abundant number, since it is smaller than the sum of its proper divisors (47782620).

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

21850020 is a wasteful number, since it uses less digits than its factorization.

21850020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 21850020 is about 4674.4004963204. The cubic root of 21850020 is about 279.5657384016.

Adding to 21850020 its reverse (2005812), we get a palindrome (23855832).

The spelling of 21850020 in words is "twenty-one million, eight hundred fifty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 941 1161 1290 1548 1882 1935 2322 2580 2823 3764 3870 4644 4705 5646 5805 7740 8469 9410 11292 11610 14115 16938 18820 23220 25407 28230 33876 40463 42345 50814 56460 80926 84690 101628 121389 127035 161852 169380 202315 242778 254070 364167 404630 485556 508140 606945 728334 809260 1092501 1213890 1456668 1820835 2185002 2427780 3641670 4370004 5462505 7283340 10925010 21850020