Search a number
-
+
2600410072 = 231319269263
BaseRepresentation
bin1001101011111111…
…0001101111011000
320201020010112000011
42122333301233120
520311201110242
61110011451304
7121304056321
oct23277615730
96636115004
102600410072
111114955637
12606a56b34
133259877b0
141a950b448
15103461d17
hex9aff1bd8

2600410072 has 48 divisors (see below), whose sum is σ = 5541812640. Its totient is φ = 1137004992.

The previous prime is 2600410069. The next prime is 2600410081. The reversal of 2600410072 is 2700140062.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2913 + ... + 72175.

It is an arithmetic number, because the mean of its divisors is an integer number (115454430).

Almost surely, 22600410072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2600410072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770906320).

2600410072 is an abundant number, since it is smaller than the sum of its proper divisors (2941402568).

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

2600410072 is a wasteful number, since it uses less digits than its factorization.

2600410072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69320 (or 69297 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2600410072 is about 50994.2160641773. The cubic root of 2600410072 is about 1375.1411552277.

The spelling of 2600410072 in words is "two billion, six hundred million, four hundred ten thousand, seventy-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 361 494 722 988 1444 1976 2888 4693 9386 18772 37544 69263 138526 277052 554104 900419 1315997 1800838 2631994 3601676 5263988 7203352 10527976 17107961 25003943 34215922 50007886 68431844 100015772 136863688 200031544 325051259 650102518 1300205036 2600410072