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20685780 = 223451132
BaseRepresentation
bin100111011101…
…0001111010100
31102220221120000
41032322033110
520243421110
62015211300
7340553253
oct116721724
942827500
1020685780
1110749595
126b16b30
13439360b
142a6679a
151c391c0
hex13ba3d4

20685780 has 90 divisors (see below), whose sum is σ = 65471406. Its totient is φ = 5467392.

The previous prime is 20685733. The next prime is 20685811. The reversal of 20685780 is 8758602.

20685780 is a `hidden beast` number, since 20 + 68 + 578 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2178576 + 18507204 = 1476^2 + 4302^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 183004 + ... + 183116.

Almost surely, 220685780 is an apocalyptic number.

20685780 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 20685780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32735703).

20685780 is an abundant number, since it is smaller than the sum of its proper divisors (44785626).

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

20685780 is a wasteful number, since it uses less digits than its factorization.

20685780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 20685780 is about 4548.1622662346. The cubic root of 20685780 is about 274.5094505391.

The spelling of 20685780 in words is "twenty million, six hundred eighty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 113 135 162 180 226 270 324 339 405 452 540 565 678 810 1017 1130 1356 1620 1695 2034 2260 3051 3390 4068 5085 6102 6780 9153 10170 12204 12769 15255 18306 20340 25538 30510 36612 38307 45765 51076 61020 63845 76614 91530 114921 127690 153228 183060 191535 229842 255380 344763 383070 459684 574605 689526 766140 1034289 1149210 1379052 1723815 2068578 2298420 3447630 4137156 5171445 6895260 10342890 20685780