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20666580 = 223511173181
BaseRepresentation
bin100111011010…
…1100011010100
31102212222012220
41032311203110
520242312310
62014542340
7340443264
oct116654324
942788186
1020666580
1110736120
126b079b0
13438795c
142a5d7a4
151c33670
hex13b58d4

20666580 has 96 divisors (see below), whose sum is σ = 63842688. Its totient is φ = 4953600.

The previous prime is 20666573. The next prime is 20666599. The reversal of 20666580 is 8566602.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 31 ways as a sum of consecutive naturals, for example, 114090 + ... + 114270.

It is an arithmetic number, because the mean of its divisors is an integer number (665028).

Almost surely, 220666580 is an apocalyptic number.

20666580 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 20666580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31921344).

20666580 is an abundant number, since it is smaller than the sum of its proper divisors (43176108).

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

20666580 is a wasteful number, since it uses less digits than its factorization.

20666580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 20666580 is about 4546.0510335895. The cubic root of 20666580 is about 274.4244934178.

It can be divided in two parts, 2066 and 6580, that added together give a triangular number (8646 = T131).

The spelling of 20666580 in words is "twenty million, six hundred sixty-six thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 181 220 330 346 362 519 543 660 692 724 865 905 1038 1086 1730 1810 1903 1991 2076 2172 2595 2715 3460 3620 3806 3982 5190 5430 5709 5973 7612 7964 9515 9955 10380 10860 11418 11946 19030 19910 22836 23892 28545 29865 31313 38060 39820 57090 59730 62626 93939 114180 119460 125252 156565 187878 313130 344443 375756 469695 626260 688886 939390 1033329 1377772 1722215 1878780 2066658 3444430 4133316 5166645 6888860 10333290 20666580