Search a number
-
+
2531031520 = 255611731499
BaseRepresentation
bin1001011011011100…
…0111100111100000
320112101120201112011
42112313013213200
520140421002040
61055052442304
7116502261433
oct22667074740
96471521464
102531031520
111089779496
125a7779394
133144a5ab4
141a020b81a
15ec30a3ea
hex96dc79e0

2531031520 has 96 divisors (see below), whose sum is σ = 6116796000. Its totient is φ = 989399040.

The previous prime is 2531031499. The next prime is 2531031577. The reversal of 2531031520 is 251301352.

It is a super-2 number, since 2×25310315202 = 12812241110467020800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2531031491 and 2531031500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687731 + ... + 1689229.

It is an arithmetic number, because the mean of its divisors is an integer number (63716625).

Almost surely, 22531031520 is an apocalyptic number.

2531031520 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 2531031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058398000).

2531031520 is an abundant number, since it is smaller than the sum of its proper divisors (3585764480).

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

2531031520 is a wasteful number, since it uses less digits than its factorization.

2531031520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2531031520 is about 50309.3581751944. The cubic root of 2531031520 is about 1362.8012331742.

Adding to 2531031520 its reverse (251301352), we get a palindrome (2782332872).

The spelling of 2531031520 in words is "two billion, five hundred thirty-one million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 173 244 305 346 488 610 692 865 976 1220 1384 1499 1730 1952 2440 2768 2998 3460 4880 5536 5996 6920 7495 9760 10553 11992 13840 14990 21106 23984 27680 29980 42212 47968 52765 59960 84424 91439 105530 119920 168848 182878 211060 239840 259327 337696 365756 422120 457195 518654 731512 844240 914390 1037308 1296635 1463024 1688480 1828780 2074616 2593270 2926048 3657560 4149232 5186540 7315120 8298464 10373080 14630240 15818947 20746160 31637894 41492320 63275788 79094735 126551576 158189470 253103152 316378940 506206304 632757880 1265515760 2531031520