Search a number
-
+
20716290 = 2335797113
BaseRepresentation
bin100111100000…
…1101100000010
31102222111102000
41033001230002
520300410130
62020004430
7341041230
oct117015402
942874360
1020716290
111076a501
126b30716
1343a447a
142a73950
151c43260
hex13c1b02

20716290 has 128 divisors (see below), whose sum is σ = 64350720. Its totient is φ = 4644864.

The previous prime is 20716279. The next prime is 20716301. The reversal of 20716290 is 9261702.

It is an interprime number because it is at equal distance from previous prime (20716279) and next prime (20716301).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 183274 + ... + 183386.

It is an arithmetic number, because the mean of its divisors is an integer number (502740).

Almost surely, 220716290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20716290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32175360).

20716290 is an abundant number, since it is smaller than the sum of its proper divisors (43634430).

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

20716290 is a wasteful number, since it uses less digits than its factorization.

20716290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20716290 is about 4551.5151323488. The cubic root of 20716290 is about 274.6443446397.

Adding to 20716290 its reverse (9261702), we get a palindrome (29977992).

The spelling of 20716290 in words is "twenty million, seven hundred sixteen thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 97 105 113 126 135 189 194 210 226 270 291 315 339 378 485 565 582 630 678 679 791 873 945 970 1017 1130 1358 1455 1582 1695 1746 1890 2034 2037 2373 2619 2910 3051 3390 3395 3955 4074 4365 4746 5085 5238 6102 6111 6790 7119 7910 8730 10170 10185 10961 11865 12222 13095 14238 15255 18333 20370 21357 21922 23730 26190 30510 30555 32883 35595 36666 42714 54805 61110 65766 71190 76727 91665 98649 106785 109610 153454 164415 183330 197298 213570 230181 295947 328830 383635 460362 493245 591894 690543 767270 986490 1150905 1381086 1479735 2071629 2301810 2959470 3452715 4143258 6905430 10358145 20716290