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20808680 = 2351771431
BaseRepresentation
bin100111101100…
…0001111101000
31110011012010212
41033120033220
520311334210
62022000252
7341604464
oct117301750
943135125
1020808680
1110822962
126b76088
134407539
142a994a4
151c60805
hex13d83e8

20808680 has 64 divisors (see below), whose sum is σ = 50388480. Its totient is φ = 7705600.

The previous prime is 20808677. The next prime is 20808691. The reversal of 20808680 is 8680802.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 48065 + ... + 48495.

It is an arithmetic number, because the mean of its divisors is an integer number (787320).

Almost surely, 220808680 is an apocalyptic number.

20808680 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 20808680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25194240).

20808680 is an abundant number, since it is smaller than the sum of its proper divisors (29579800).

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

20808680 is a wasteful number, since it uses less digits than its factorization.

20808680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 20808680 is about 4561.6532090899. The cubic root of 20808680 is about 275.0520232157.

The spelling of 20808680 in words is "twenty million, eight hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 340 355 431 568 680 710 862 1207 1420 1724 2155 2414 2840 3448 4310 4828 6035 7327 8620 9656 12070 14654 17240 24140 29308 30601 36635 48280 58616 61202 73270 122404 146540 153005 244808 293080 306010 520217 612020 1040434 1224040 2080868 2601085 4161736 5202170 10404340 20808680