Search a number
-
+
2590119126 = 233721994919
BaseRepresentation
bin1001101001100010…
…0001010011010110
320200111202200111000
42122120201103112
520301032303001
61105003124130
7121120435500
oct23230412326
96614680430
102590119126
11110a066921
12603513646
133237c368a
141a7dccd70
151025cca86
hex9a6214d6

2590119126 has 96 divisors (see below), whose sum is σ = 6730560000. Its totient is φ = 736165584.

The previous prime is 2590119107. The next prime is 2590119127. The reversal of 2590119126 is 6219110952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590119127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524095 + ... + 529013.

It is an arithmetic number, because the mean of its divisors is an integer number (70110000).

Almost surely, 22590119126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590119126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365280000).

2590119126 is an abundant number, since it is smaller than the sum of its proper divisors (4140440874).

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

2590119126 is a wasteful number, since it uses less digits than its factorization.

2590119126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5143 (or 5130 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 2590119126 is about 50893.2129659742. The cubic root of 2590119126 is about 1373.3247478150.

The spelling of 2590119126 in words is "two billion, five hundred ninety million, one hundred nineteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 199 294 378 398 441 597 882 1194 1323 1393 1791 2646 2786 3582 4179 4919 5373 8358 9751 9838 10746 12537 14757 19502 25074 29253 29514 34433 37611 44271 58506 68866 75222 87759 88542 103299 132813 175518 206598 241031 263277 265626 309897 482062 526554 619794 723093 929691 978881 1446186 1859382 1957762 2169279 2936643 4338558 5873286 6507837 6852167 8809929 13015674 13704334 17619858 20556501 26429787 41113002 47965169 52859574 61669503 95930338 123339006 143895507 185008509 287791014 370017018 431686521 863373042 1295059563 2590119126