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20679660 = 22325131877
BaseRepresentation
bin100111011100…
…0101111101100
31102220122011100
41032320233230
520243222120
62015123100
7340526361
oct116705754
942818140
1020679660
1110744a31
126b13490
1343908b1
142a64468
151c37490
hex13b8bec

20679660 has 72 divisors (see below), whose sum is σ = 63279216. Its totient is φ = 5466240.

The previous prime is 20679653. The next prime is 20679679. The reversal of 20679660 is 6697602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23142 + ... + 24018.

It is an arithmetic number, because the mean of its divisors is an integer number (878878).

Almost surely, 220679660 is an apocalyptic number.

20679660 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 20679660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31639608).

20679660 is an abundant number, since it is smaller than the sum of its proper divisors (42599556).

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

20679660 is a wasteful number, since it uses less digits than its factorization.

20679660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 20679660 is about 4547.4894172499. The cubic root of 20679660 is about 274.4823761665.

The spelling of 20679660 in words is "twenty million, six hundred seventy-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 877 1179 1310 1572 1754 1965 2358 2620 2631 3508 3930 4385 4716 5262 5895 7860 7893 8770 10524 11790 13155 15786 17540 23580 26310 31572 39465 52620 78930 114887 157860 229774 344661 459548 574435 689322 1033983 1148870 1378644 1723305 2067966 2297740 3446610 4135932 5169915 6893220 10339830 20679660