Search a number
-
+
20012320 = 2551929227
BaseRepresentation
bin100110001010…
…1110100100000
31101122201202001
41030111310200
520110343240
61552533344
7332046646
oct114256440
941581661
1020012320
1110329609
126851254
1341b8c13
14292d196
151b5489a
hex1315d20

20012320 has 96 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 7289856.

The previous prime is 20012303. The next prime is 20012341. The reversal of 20012320 is 2321002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20012297 and 20012306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88047 + ... + 88273.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 220012320 is an apocalyptic number.

20012320 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 20012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

20012320 is an abundant number, since it is smaller than the sum of its proper divisors (31698080).

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

20012320 is a wasteful number, since it uses less digits than its factorization.

20012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 20012320 is about 4473.5131608167. The cubic root of 20012320 is about 271.4974862607.

Adding to 20012320 its reverse (2321002), we get a palindrome (22333322).

The spelling of 20012320 in words is "twenty million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 227 232 290 304 380 454 464 551 580 608 760 908 928 1102 1135 1160 1520 1816 2204 2270 2320 2755 3040 3632 4313 4408 4540 4640 5510 6583 7264 8626 8816 9080 11020 13166 17252 17632 18160 21565 22040 26332 32915 34504 36320 43130 44080 52664 65830 69008 86260 88160 105328 125077 131660 138016 172520 210656 250154 263320 345040 500308 526640 625385 690080 1000616 1053280 1250770 2001232 2501540 4002464 5003080 10006160 20012320