Search a number
-
+
20865780 = 223251337241
BaseRepresentation
bin100111110011…
…0001011110100
31110021002110200
41033212023310
520320201110
62023120500
7342233115
oct117461364
943232420
1020865780
1110861851
126ba3130
134427520
142ab220c
151c726c0
hex13e62f4

20865780 has 144 divisors (see below), whose sum is σ = 70294224. Its totient is φ = 4976640.

The previous prime is 20865773. The next prime is 20865797. The reversal of 20865780 is 8756802.

20865780 is a `hidden beast` number, since 2 + 0 + 86 + 578 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 181476 + 20684304 = 426^2 + 4548^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 86460 + ... + 86700.

Almost surely, 220865780 is an apocalyptic number.

20865780 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 20865780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35147112).

20865780 is an abundant number, since it is smaller than the sum of its proper divisors (49428444).

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

20865780 is a wasteful number, since it uses less digits than its factorization.

20865780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 301 counting only the distinct ones).

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

The square root of 20865780 is about 4567.9076172795. The cubic root of 20865780 is about 275.3033786896.

The spelling of 20865780 in words is "twenty million, eight hundred sixty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 37 39 45 52 60 65 74 78 90 111 117 130 148 156 180 185 195 222 234 241 260 333 370 390 444 468 481 482 555 585 666 723 740 780 962 964 1110 1170 1205 1332 1443 1446 1665 1924 2169 2220 2340 2405 2410 2886 2892 3133 3330 3615 4329 4338 4810 4820 5772 6266 6660 7215 7230 8658 8676 8917 9399 9620 10845 12532 14430 14460 15665 17316 17834 18798 21645 21690 26751 28197 28860 31330 35668 37596 43290 43380 44585 46995 53502 56394 62660 80253 86580 89170 93990 107004 112788 115921 133755 140985 160506 178340 187980 231842 267510 281970 321012 347763 401265 463684 535020 563940 579605 695526 802530 1043289 1159210 1391052 1605060 1738815 2086578 2318420 3477630 4173156 5216445 6955260 10432890 20865780