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20213010 = 2335431741
BaseRepresentation
bin100110100011…
…0110100010010
31102000221001000
41031012310102
520133304020
62001122430
7333544026
oct115066422
942027030
1020213010
1110456374
126929416
13425937c
142982386
151b94090
hex1346d12

20213010 has 64 divisors (see below), whose sum is σ = 55186560. Its totient is φ = 5261760.

The previous prime is 20212991. The next prime is 20213047. The reversal of 20213010 is 1031202.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20212983 and 20213001.

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 31 ways as a sum of consecutive naturals, for example, 10740 + ... + 12480.

It is an arithmetic number, because the mean of its divisors is an integer number (862290).

Almost surely, 220213010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27593280).

20213010 is an abundant number, since it is smaller than the sum of its proper divisors (34973550).

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

20213010 is a wasteful number, since it uses less digits than its factorization.

20213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

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

The square root of 20213010 is about 4495.8881213838. Note that the first 3 decimals coincide. The cubic root of 20213010 is about 272.4020240879.

Adding to 20213010 its reverse (1031202), we get a palindrome (21244212).

The spelling of 20213010 in words is "twenty million, two hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 215 258 270 387 430 645 774 1161 1290 1741 1935 2322 3482 3870 5223 5805 8705 10446 11610 15669 17410 26115 31338 47007 52230 74863 78345 94014 149726 156690 224589 235035 374315 449178 470070 673767 748630 1122945 1347534 2021301 2245890 3368835 4042602 6737670 10106505 20213010