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20201820 = 22352314639
BaseRepresentation
bin100110100010…
…0000101011100
31102000100200120
41031010011130
520132424240
62000554540
7333466302
oct115040534
942010616
1020201820
1110448a21
126922a50
134254252
14297c272
151b90ad0
hex134415c

20201820 has 48 divisors (see below), whose sum is σ = 59028480. Its totient is φ = 5152576.

The previous prime is 20201813. The next prime is 20201821. The reversal of 20201820 is 2810202.

It is a super-2 number, since 2×202018202 = 816227062624800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20201820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5940 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (1229760).

Almost surely, 220201820 is an apocalyptic number.

20201820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201820 is an abundant number, since it is smaller than the sum of its proper divisors (38826660).

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

20201820 is a wasteful number, since it uses less digits than its factorization.

20201820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14674 (or 14672 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20201820 is about 4494.6434786310. The cubic root of 20201820 is about 272.3517472065.

The spelling of 20201820 in words is "twenty million, two hundred one thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 14639 29278 43917 58556 73195 87834 146390 175668 219585 292780 336697 439170 673394 878340 1010091 1346788 1683485 2020182 3366970 4040364 5050455 6733940 10100910 20201820