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2520130032 = 243273118039
BaseRepresentation
bin1001011000110110…
…0010000111110000
320111122001212111100
42112031202013300
520130123130112
61054023044400
7116310515610
oct22615420760
96448055440
102520130032
111083602aa2
125a3ba0700
13312159b04
1419c9b0a40
15eb3a52dc
hex963621f0

2520130032 has 120 divisors (see below), whose sum is σ = 8087339520. Its totient is φ = 717632640.

The previous prime is 2520129973. The next prime is 2520130043. The reversal of 2520130032 is 2300310252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2520129987 and 2520130014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309469 + ... + 317507.

It is an arithmetic number, because the mean of its divisors is an integer number (67394496).

Almost surely, 22520130032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2520130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043669760).

2520130032 is an abundant number, since it is smaller than the sum of its proper divisors (5567209488).

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

2520130032 is a wasteful number, since it uses less digits than its factorization.

2520130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8371 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2520130032 is about 50200.8967250586. The cubic root of 2520130032 is about 1360.8418288650.

Adding to 2520130032 its reverse (2300310252), we get a palindrome (4820440284).

The spelling of 2520130032 in words is "two billion, five hundred twenty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 311 336 504 622 933 1008 1244 1866 2177 2488 2799 3732 4354 4976 5598 6531 7464 8039 8708 11196 13062 14928 16078 17416 19593 22392 24117 26124 32156 34832 39186 44784 48234 52248 56273 64312 72351 78372 96468 104496 112546 128624 144702 156744 168819 192936 225092 289404 313488 337638 385872 450184 506457 578808 675276 900368 1012914 1157616 1350552 2025828 2500129 2701104 4051656 5000258 7500387 8103312 10000516 15000774 17500903 20001032 22501161 30001548 35001806 40002064 45002322 52502709 60003096 70003612 90004644 105005418 120006192 140007224 157508127 180009288 210010836 280014448 315016254 360018576 420021672 630032508 840043344 1260065016 2520130032