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5105970260 = 225294125237
BaseRepresentation
bin1001100000101011…
…01110110001010100
3111011211210011102122
410300111232301110
540424112022020
62202354355112
7240350013446
oct46025566124
914154704378
105105970260
112190207036
12ba5b8ba98
13634ab29a1
143661a8496
151ed3da125
hex13056ec54

5105970260 has 72 divisors (see below), whose sum is σ = 11371593240. Its totient is φ = 1923496960.

The previous prime is 5105970257. The next prime is 5105970277. The reversal of 5105970260 is 620795015.

It can be written as a sum of positive squares in 12 ways, for example, as 2716911376 + 2389058884 = 52124^2 + 48878^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5105970260.

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, 972362 + ... + 977598.

It is an arithmetic number, because the mean of its divisors is an integer number (157938795).

Almost surely, 25105970260 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 5105970260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685796620).

5105970260 is an abundant number, since it is smaller than the sum of its proper divisors (6265622980).

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

5105970260 is a wasteful number, since it uses less digits than its factorization.

5105970260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5357 (or 5314 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 5105970260 is about 71456.0722402232. The cubic root of 5105970260 is about 1721.9720328035.

The spelling of 5105970260 in words is "five billion, one hundred five million, nine hundred seventy thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 41 58 82 116 145 164 205 290 410 580 820 1189 1681 2378 3362 4756 5237 5945 6724 8405 10474 11890 16810 20948 23780 26185 33620 48749 52370 97498 104740 151873 194996 214717 243745 303746 429434 487490 607492 759365 858868 974980 1073585 1518730 2147170 3037460 4294340 6226793 8803397 12453586 17606794 24907172 31133965 35213588 44016985 62267930 88033970 124535860 176067940 255298513 510597026 1021194052 1276492565 2552985130 5105970260