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20680600 = 2352531951
BaseRepresentation
bin100111011100…
…0111110011000
31102220200110011
41032320332120
520243234400
62015131304
7340532203
oct116707630
942820404
1020680600
1110745706
126b13b34
134391155
142a6493a
151c378ba
hex13b8f98

20680600 has 48 divisors (see below), whose sum is σ = 49014720. Its totient is φ = 8112000.

The previous prime is 20680591. The next prime is 20680603. The reversal of 20680600 is 608602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20680603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9625 + ... + 11575.

It is an arithmetic number, because the mean of its divisors is an integer number (1021140).

Almost surely, 220680600 is an apocalyptic number.

20680600 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 20680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

20680600 is an abundant number, since it is smaller than the sum of its proper divisors (28334120).

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

20680600 is a wasteful number, since it uses less digits than its factorization.

20680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 20680600 is about 4547.5927698069. The cubic root of 20680600 is about 274.4865349958.

The spelling of 20680600 in words is "twenty million, six hundred eighty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 1951 2120 2650 3902 5300 7804 9755 10600 15608 19510 39020 48775 78040 97550 103403 195100 206806 390200 413612 517015 827224 1034030 2068060 2585075 4136120 5170150 10340300 20680600