Search a number
-
+
2530650540 = 22351131112329
BaseRepresentation
bin1001011011010110…
…1010100110101100
320112100212100220210
42112311222212230
520140321304130
61055040342420
7116466113625
oct22665524654
96470770823
102530650540
111089539230
125a7614a10
133143a1572
141a014ca4c
15ec2825b0
hex96d6a9ac

2530650540 has 96 divisors (see below), whose sum is σ = 7755471360. Its totient is φ = 611468800.

The previous prime is 2530650517. The next prime is 2530650553. The reversal of 2530650540 is 450560352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2530650498 and 2530650507.

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 31 ways as a sum of consecutive naturals, for example, 199096 + ... + 211424.

It is an arithmetic number, because the mean of its divisors is an integer number (80786160).

Almost surely, 22530650540 is an apocalyptic number.

2530650540 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 2530650540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877735680).

2530650540 is an abundant number, since it is smaller than the sum of its proper divisors (5224820820).

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

2530650540 is a wasteful number, since it uses less digits than its factorization.

2530650540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2530650540 is about 50305.5716596084. The cubic root of 2530650540 is about 1362.7328518229.

The spelling of 2530650540 in words is "two billion, five hundred thirty million, six hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 311 330 622 660 933 1244 1555 1866 3110 3421 3732 4665 6220 6842 9330 10263 12329 13684 17105 18660 20526 24658 34210 36987 41052 49316 51315 61645 68420 73974 102630 123290 135619 147948 184935 205260 246580 271238 369870 406857 542476 678095 739740 813714 1356190 1627428 2034285 2712380 3834319 4068570 7668638 8137140 11502957 15337276 19171595 23005914 38343190 42177509 46011828 57514785 76686380 84355018 115029570 126532527 168710036 210887545 230059140 253065054 421775090 506130108 632662635 843550180 1265325270 2530650540