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2530820020 = 225895212729
BaseRepresentation
bin1001011011011001…
…0011111110110100
320112101011222101211
42112312103332310
520140342220040
61055044131204
7116500421011
oct22666237664
96471158354
102530820020
1110896445a3
125a7696b04
13314430751
141a0194708
15ec2b78ea
hex96d93fb4

2530820020 has 48 divisors (see below), whose sum is σ = 5386726800. Its totient is φ = 998666240.

The previous prime is 2530820003. The next prime is 2530820051. The reversal of 2530820020 is 200280352.

It can be written as a sum of positive squares in 8 ways, for example, as 6360484 + 2524459536 = 2522^2 + 50244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2530819973 and 2530820000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 926016 + ... + 928744.

It is an arithmetic number, because the mean of its divisors is an integer number (112223475).

Almost surely, 22530820020 is an apocalyptic number.

2530820020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2530820020 is an abundant number, since it is smaller than the sum of its proper divisors (2855906780).

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

2530820020 is a wasteful number, since it uses less digits than its factorization.

2530820020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2530820020 is about 50307.2561366648. The cubic root of 2530820020 is about 1362.7632723024.

The spelling of 2530820020 in words is "two billion, five hundred thirty million, eight hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 521 890 1042 1780 2084 2605 2729 5210 5458 10420 10916 13645 27290 46369 54580 92738 185476 231845 242881 463690 485762 927380 971524 1214405 1421809 2428810 2843618 4857620 5687236 7109045 14218090 28436180 126541001 253082002 506164004 632705005 1265410010 2530820020