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20002580 = 22513107719
BaseRepresentation
bin100110001001…
…1011100010100
31101122020101022
41030103130110
520110040310
61552420312
7332006363
oct114233424
941566338
1020002580
1110322264
126847698
1341b4660
1429297da
151b51a55
hex1313714

20002580 has 48 divisors (see below), whose sum is σ = 45722880. Its totient is φ = 7306368.

The previous prime is 20002579. The next prime is 20002603. The reversal of 20002580 is 8520002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27461 + ... + 28179.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 220002580 is an apocalyptic number.

20002580 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 20002580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22861440).

20002580 is an abundant number, since it is smaller than the sum of its proper divisors (25720300).

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

20002580 is a wasteful number, since it uses less digits than its factorization.

20002580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 20002580 is about 4472.4243984667. The cubic root of 20002580 is about 271.4534331534.

Adding to 20002580 its reverse (8520002), we get a palindrome (28522582).

The spelling of 20002580 in words is "twenty million, two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 719 1070 1391 1438 2140 2782 2876 3595 5564 6955 7190 9347 13910 14380 18694 27820 37388 46735 76933 93470 153866 186940 307732 384665 769330 1000129 1538660 2000258 4000516 5000645 10001290 20002580