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20023020 = 22325173643
BaseRepresentation
bin100110001100…
…0011011101100
31101200021102100
41030120123230
520111214040
61553055100
7332123103
oct114303354
941607370
1020023020
1110336656
126857490
1341c0a54
14293303a
151b57b30
hex13186ec

20023020 has 72 divisors (see below), whose sum is σ = 61182576. Its totient is φ = 5300352.

The previous prime is 20023009. The next prime is 20023027. The reversal of 20023020 is 2032002.

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

It is a junction number, because it is equal to n+sod(n) for n = 20022993 and 20023011.

It is not an unprimeable number, because it can be changed into a prime (20023027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30819 + ... + 31461.

It is an arithmetic number, because the mean of its divisors is an integer number (849758).

Almost surely, 220023020 is an apocalyptic number.

20023020 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 20023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30591288).

20023020 is an abundant number, since it is smaller than the sum of its proper divisors (41159556).

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

20023020 is a wasteful number, since it uses less digits than its factorization.

20023020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20023020 is about 4474.7089290813. The cubic root of 20023020 is about 271.5458648847.

Adding to 20023020 its reverse (2032002), we get a palindrome (22055022).

It can be divided in two parts, 200 and 23020, that added together give a triangular number (23220 = T215).

The spelling of 20023020 in words is "twenty million, twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 643 692 865 1038 1286 1557 1730 1929 2076 2572 2595 3114 3215 3460 3858 5190 5787 6228 6430 7716 7785 9645 10380 11574 12860 15570 19290 23148 28935 31140 38580 57870 111239 115740 222478 333717 444956 556195 667434 1001151 1112390 1334868 1668585 2002302 2224780 3337170 4004604 5005755 6674340 10011510 20023020