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2531322540 = 22325107167787
BaseRepresentation
bin1001011011100000…
…1110101010101100
320112102010111201200
42112320032222230
520141004310130
61055103005500
7116504613045
oct22670165254
96472114650
102531322540
1110899580aa
125a7899890
133145783b6
141a02858cc
15ec366760
hex96e0eaac

2531322540 has 144 divisors (see below), whose sum is σ = 7806419712. Its totient is φ = 663861888.

The previous prime is 2531322529. The next prime is 2531322553. The reversal of 2531322540 is 452231352.

It is a happy number.

2531322540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3216027 + ... + 3216813.

It is an arithmetic number, because the mean of its divisors is an integer number (54211248).

Almost surely, 22531322540 is an apocalyptic number.

2531322540 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 2531322540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903209856).

2531322540 is an abundant number, since it is smaller than the sum of its proper divisors (5275097172).

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

2531322540 is a wasteful number, since it uses less digits than its factorization.

2531322540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2531322540 is about 50312.2503968964. The cubic root of 2531322540 is about 1362.8534631593.

Adding to 2531322540 its reverse (452231352), we get a palindrome (2983553892).

The spelling of 2531322540 in words is "two billion, five hundred thirty-one million, three hundred twenty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 167 180 214 321 334 428 501 535 642 668 787 835 963 1002 1070 1284 1503 1574 1605 1670 1926 2004 2140 2361 2505 3006 3148 3210 3340 3852 3935 4722 4815 5010 6012 6420 7083 7515 7870 9444 9630 10020 11805 14166 15030 15740 17869 19260 23610 28332 30060 35415 35738 47220 53607 70830 71476 84209 89345 107214 131429 141660 160821 168418 178690 214428 252627 262858 268035 321642 336836 357380 394287 421045 505254 525716 536070 643284 657145 757881 788574 804105 842090 1010508 1072140 1182861 1263135 1314290 1515762 1577148 1608210 1684180 1971435 2365722 2526270 2628580 3031524 3216420 3789405 3942870 4731444 5052540 5914305 7578810 7885740 11828610 14062903 15157620 23657220 28125806 42188709 56251612 70314515 84377418 126566127 140629030 168754836 210943545 253132254 281258060 421887090 506264508 632830635 843774180 1265661270 2531322540