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2010043420 = 22571110112923
BaseRepresentation
bin111011111001110…
…1101010000011100
312012002020210012121
41313303231100130
513104032342140
6531242112324
7100545041620
oct16763552034
95162223177
102010043420
11941687410
124811ab6a4
13260582908
14150d51180
15bb6e864a
hex77ced41c

2010043420 has 96 divisors (see below), whose sum is σ = 5315175936. Its totient is φ = 620256000.

The previous prime is 2010043411. The next prime is 2010043481. The reversal of 2010043420 is 243400102.

It is a junction number, because it is equal to n+sod(n) for n = 2010043394 and 2010043403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149079 + ... + 162001.

It is an arithmetic number, because the mean of its divisors is an integer number (55366416).

Almost surely, 22010043420 is an apocalyptic number.

2010043420 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 2010043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657587968).

2010043420 is an abundant number, since it is smaller than the sum of its proper divisors (3305132516).

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

2010043420 is a wasteful number, since it uses less digits than its factorization.

2010043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051 (or 13049 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2010043420 is about 44833.5077815689. The cubic root of 2010043420 is about 1262.0265155172.

Adding to 2010043420 its reverse (243400102), we get a palindrome (2253443522).

The spelling of 2010043420 in words is "two billion, ten million, forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 101 110 140 154 202 220 308 385 404 505 707 770 1010 1111 1414 1540 2020 2222 2828 3535 4444 5555 7070 7777 11110 12923 14140 15554 22220 25846 31108 38885 51692 64615 77770 90461 129230 142153 155540 180922 258460 284306 361844 452305 568612 710765 904610 995071 1305223 1421530 1809220 1990142 2610446 2843060 3980284 4975355 5220892 6526115 9136561 9950710 13052230 14357453 18273122 19901420 26104460 28714906 36546244 45682805 57429812 71787265 91365610 100502171 143574530 182731220 201004342 287149060 402008684 502510855 1005021710 2010043420