Search a number
-
+
2680433010 = 2325179718061
BaseRepresentation
bin1001111111000100…
…0010100101110010
320220210201002211200
42133301002211302
520442142324020
61121550552030
7123265206333
oct23761024562
96823632750
102680433010
111156041aa2
12629808616
13339425448
141b5dbc28a
1510a4bc590
hex9fc42972

2680433010 has 96 divisors (see below), whose sum is σ = 7455560112. Its totient is φ = 665763840.

The previous prime is 2680433009. The next prime is 2680433059. The reversal of 2680433010 is 103340862.

It is a happy number.

2680433010 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1908204489 + 772228521 = 43683^2 + 27789^2 .

It is a super-2 number, since 2×26804330102 = 14369442242195320200, which contains 22 as substring.

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, 139380 + ... + 157440.

Almost surely, 22680433010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680433010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3727780056).

2680433010 is an abundant number, since it is smaller than the sum of its proper divisors (4775127102).

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

2680433010 is a wasteful number, since it uses less digits than its factorization.

2680433010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18188 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2680433010 is about 51772.8984122002. The cubic root of 2680433010 is about 1389.1047165135.

Adding to 2680433010 its reverse (103340862), we get a palindrome (2783773872).

The spelling of 2680433010 in words is "two billion, six hundred eighty million, four hundred thirty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 97 102 153 170 194 255 291 306 485 510 582 765 873 970 1455 1530 1649 1746 2910 3298 4365 4947 8245 8730 9894 14841 16490 18061 24735 29682 36122 49470 54183 74205 90305 108366 148410 162549 180610 270915 307037 325098 541830 614074 812745 921111 1535185 1625490 1751917 1842222 2763333 3070370 3503834 4605555 5255751 5526666 8759585 9211110 10511502 13816665 15767253 17519170 26278755 27633330 29782589 31534506 52557510 59565178 78836265 89347767 148912945 157672530 178695534 268043301 297825890 446738835 536086602 893477670 1340216505 2680433010