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20660976 = 24327103199
BaseRepresentation
bin100111011010…
…0001011110000
31102212200112100
41032310023300
520242122401
62014500400
7340421040
oct116641360
942780470
1020660976
1110731996
126b04700
13438523b
142a5b720
151c31b86
hex13b42f0

20660976 has 120 divisors (see below), whose sum is σ = 67059200. Its totient is φ = 5816448.

The previous prime is 20660953. The next prime is 20660977. The reversal of 20660976 is 67906602.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20660976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20660977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103725 + ... + 103923.

Almost surely, 220660976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20660976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529600).

20660976 is an abundant number, since it is smaller than the sum of its proper divisors (46398224).

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

20660976 is a wasteful number, since it uses less digits than its factorization.

20660976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 314 counting only the distinct ones).

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

The square root of 20660976 is about 4545.4346326837. The cubic root of 20660976 is about 274.3996866381.

The spelling of 20660976 in words is "twenty million, six hundred sixty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 103 112 126 144 168 199 206 252 309 336 398 412 504 597 618 721 796 824 927 1008 1194 1236 1393 1442 1592 1648 1791 1854 2163 2388 2472 2786 2884 3184 3582 3708 4179 4326 4776 4944 5572 5768 6489 7164 7416 8358 8652 9552 11144 11536 12537 12978 14328 14832 16716 17304 20497 22288 25074 25956 28656 33432 34608 40994 50148 51912 61491 66864 81988 100296 103824 122982 143479 163976 184473 200592 245964 286958 327952 368946 430437 491928 573916 737892 860874 983856 1147832 1291311 1475784 1721748 2295664 2582622 2951568 3443496 5165244 6886992 10330488 20660976