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2516303240 = 2351143179743
BaseRepresentation
bin1001010111111011…
…1011110110001000
320111100212110010022
42111332323312020
520123133200430
61053405040012
7116233140023
oct22576736610
96440773108
102516303240
111081429960
125a2856008
1331141a039
1419c2961ba
15ead9b4e5
hex95fbbd88

2516303240 has 128 divisors (see below), whose sum is σ = 6363878400. Its totient is φ = 887550720.

The previous prime is 2516303221. The next prime is 2516303267. The reversal of 2516303240 is 423036152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3386309 + ... + 3387051.

It is an arithmetic number, because the mean of its divisors is an integer number (49717800).

Almost surely, 22516303240 is an apocalyptic number.

2516303240 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 2516303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181939200).

2516303240 is an abundant number, since it is smaller than the sum of its proper divisors (3847575160).

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

2516303240 is a wasteful number, since it uses less digits than its factorization.

2516303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2516303240 is about 50162.7674675152. The cubic root of 2516303240 is about 1360.1526717303.

Adding to 2516303240 its reverse (423036152), we get a palindrome (2939339392).

The spelling of 2516303240 in words is "two billion, five hundred sixteen million, three hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 179 215 220 344 358 430 440 473 716 743 860 895 946 1432 1486 1720 1790 1892 1969 2365 2972 3580 3715 3784 3938 4730 5944 7160 7430 7697 7876 8173 9460 9845 14860 15394 15752 16346 18920 19690 29720 30788 31949 32692 38485 39380 40865 61576 63898 65384 76970 78760 81730 84667 127796 132997 153940 159745 163460 169334 255592 265994 307880 319490 326920 338668 351439 423335 531988 638980 664985 677336 702878 846670 1063976 1277960 1329970 1405756 1462967 1693340 1757195 2659940 2811512 2925934 3386680 3514390 5319880 5718871 5851868 7028780 7314835 11437742 11703736 14057560 14629670 22875484 28594355 29259340 45750968 57188710 58518680 62907581 114377420 125815162 228754840 251630324 314537905 503260648 629075810 1258151620 2516303240