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20303020 = 22519232101
BaseRepresentation
bin100110101110…
…0110010101100
31102012111111201
41031130302230
520144144040
62003055244
7334400323
oct115346254
942174451
1020303020
1110507a61
126971524
13428b32a
1429a70ba
151bb0a9a
hex135ccac

20303020 has 72 divisors (see below), whose sum is σ = 47381040. Its totient is φ = 7286400.

The previous prime is 20303011. The next prime is 20303027. The reversal of 20303020 is 2030302.

20303020 = T59 + T60 + ... + T495.

It is a super-2 number, since 2×203030202 = 824425242240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20302988 and 20303006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303027) 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 23 ways as a sum of consecutive naturals, for example, 200970 + ... + 201070.

It is an arithmetic number, because the mean of its divisors is an integer number (658070).

Almost surely, 220303020 is an apocalyptic number.

20303020 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 20303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690520).

20303020 is an abundant number, since it is smaller than the sum of its proper divisors (27078020).

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

20303020 is a wasteful number, since it uses less digits than its factorization.

20303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 20303020 is about 4505.8872600188. The cubic root of 20303020 is about 272.8057673723.

20303020 divided by its sum of digits (10) gives a palindrome (2030302).

Adding to 20303020 its reverse (2030302), we get a palindrome (22333322).

It can be divided in two parts, 2030 and 3020, that added together give a triangular number (5050 = T100).

The spelling of 20303020 in words is "twenty million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 76 92 95 101 115 190 202 230 380 404 437 460 505 529 874 1010 1058 1748 1919 2020 2116 2185 2323 2645 3838 4370 4646 5290 7676 8740 9292 9595 10051 10580 11615 19190 20102 23230 38380 40204 44137 46460 50255 53429 88274 100510 106858 176548 201020 213716 220685 267145 441370 534290 882740 1015151 1068580 2030302 4060604 5075755 10151510 20303020