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20002812 = 22317313163
BaseRepresentation
bin100110001001…
…1011111111100
31101122020200220
41030103133330
520110042222
61552421340
7332010144
oct114233774
941566626
1020002812
1110322455
126847850
1341b47ab
142929924
151b51b5c
hex13137fc

20002812 has 48 divisors (see below), whose sum is σ = 51028992. Its totient is φ = 6071040.

The previous prime is 20002799. The next prime is 20002823. The reversal of 20002812 is 21820002.

It is a super-2 number, since 2×200028122 = 800224975814688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20002791 and 20002800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743 + ... + 7905.

It is an arithmetic number, because the mean of its divisors is an integer number (1063104).

Almost surely, 220002812 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25514496).

20002812 is an abundant number, since it is smaller than the sum of its proper divisors (31026180).

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

20002812 is a wasteful number, since it uses less digits than its factorization.

20002812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3216 counting only the distinct ones).

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

The square root of 20002812 is about 4472.4503351071. The cubic root of 20002812 is about 271.4544826339.

Adding to 20002812 its reverse (21820002), we get a palindrome (41822814).

The spelling of 20002812 in words is "twenty million, two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 3163 6324 6326 9489 12652 18978 37956 53771 98053 107542 161313 196106 215084 294159 322626 392212 588318 645252 1176636 1666901 3333802 5000703 6667604 10001406 20002812