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2512090820 = 2252353167617
BaseRepresentation
bin1001010110111011…
…0111011011000100
320111001221102202202
42111232313123010
520121043401240
61053134454032
7116152263641
oct22556673304
96431842682
102512090820
11107a012018
125a1364318
133105a3895
1419b8badc8
15ea818315
hex95bb76c4

2512090820 has 96 divisors (see below), whose sum is σ = 5651347968. Its totient is φ = 935846912.

The previous prime is 2512090817. The next prime is 2512090853. The reversal of 2512090820 is 280902152.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4071152 + ... + 4071768.

It is an arithmetic number, because the mean of its divisors is an integer number (58868208).

Almost surely, 22512090820 is an apocalyptic number.

2512090820 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 2512090820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825673984).

2512090820 is an abundant number, since it is smaller than the sum of its proper divisors (3139257148).

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

2512090820 is a wasteful number, since it uses less digits than its factorization.

2512090820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 2512090820 is about 50120.7623645132. The cubic root of 2512090820 is about 1359.3932594861.

Adding to 2512090820 its reverse (280902152), we get a palindrome (2792992972).

The spelling of 2512090820 in words is "two billion, five hundred twelve million, ninety thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 167 212 230 265 334 460 530 617 668 835 1060 1219 1234 1670 2438 2468 3085 3340 3841 4876 6095 6170 7682 8851 12190 12340 14191 15364 17702 19205 24380 28382 32701 35404 38410 44255 56764 65402 70955 76820 88510 103039 130804 141910 163505 177020 203573 206078 283820 327010 407146 412156 515195 654020 752123 814292 1017865 1030390 1504246 2035730 2060780 2369897 3008492 3760615 4071460 4739794 5461067 7521230 9479588 10922134 11849485 15042460 21844268 23698970 27305335 47397940 54610670 109221340 125604541 251209082 502418164 628022705 1256045410 2512090820