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20680660 = 225711131033
BaseRepresentation
bin100111011100…
…0111111010100
31102220200112101
41032320333110
520243240120
62015131444
7340532320
oct116707724
942820471
1020680660
1110745760
126b13b84
1343911a0
142a64980
151c3790a
hex13b8fd4

20680660 has 96 divisors (see below), whose sum is σ = 58367232. Its totient is φ = 5944320.

The previous prime is 20680651. The next prime is 20680697. The reversal of 20680660 is 6608602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19504 + ... + 20536.

It is an arithmetic number, because the mean of its divisors is an integer number (607992).

Almost surely, 220680660 is an apocalyptic number.

20680660 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 20680660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29183616).

20680660 is an abundant number, since it is smaller than the sum of its proper divisors (37686572).

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

20680660 is a wasteful number, since it uses less digits than its factorization.

20680660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 20680660 is about 4547.5993666989. The cubic root of 20680660 is about 274.4868004487.

The spelling of 20680660 in words is "twenty million, six hundred eighty thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1033 1430 1540 1820 2002 2066 2860 4004 4132 5005 5165 7231 10010 10330 11363 13429 14462 20020 20660 22726 26858 28924 36155 45452 53716 56815 67145 72310 79541 94003 113630 134290 144620 147719 159082 188006 227260 268580 295438 318164 376012 397705 470015 590876 738595 795410 940030 1034033 1477190 1590820 1880060 2068066 2954380 4136132 5170165 10340330 20680660