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260006462220 = 223561317224101
BaseRepresentation
bin1111001000100110010…
…1111100001100001100
3220212010022000210202010
43302021211330030030
513224443123242340
6315240104501220
724533126315001
oct3621145741414
9825108023663
10260006462220
11a02a496243a
124248377a810
131b6981cc85b
14c8277778a8
156b6b551b80
hex3c8997c30c

260006462220 has 96 divisors (see below), whose sum is σ = 742290365376. Its totient is φ = 67982976000.

The previous prime is 260006462213. The next prime is 260006462227. The reversal of 260006462220 is 22264600062.

It is an interprime number because it is at equal distance from previous prime (260006462213) and next prime (260006462227).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (260006462227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048170 + ... + 1272270.

It is an arithmetic number, because the mean of its divisors is an integer number (7732191306).

Almost surely, 2260006462220 is an apocalyptic number.

260006462220 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 260006462220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371145182688).

260006462220 is an abundant number, since it is smaller than the sum of its proper divisors (482283903156).

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

260006462220 is a wasteful number, since it uses less digits than its factorization.

260006462220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224491 (or 224489 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

It can be divided in two parts, 26000646 and 2220, that added together give a triangular number (26002866 = T7211).

The spelling of 260006462220 in words is "two hundred sixty billion, six million, four hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 317 366 610 634 732 915 951 1220 1268 1585 1830 1902 3170 3660 3804 4755 6340 9510 19020 19337 38674 58011 77348 96685 116022 193370 224101 232044 290055 386740 448202 580110 672303 896404 1120505 1160220 1344606 2241010 2689212 3361515 4482020 6723030 13446060 13670161 27340322 41010483 54680644 68350805 71040017 82020966 136701610 142080034 164041932 205052415 213120051 273403220 284160068 355200085 410104830 426240102 710400170 820209660 852480204 1065600255 1420800340 2131200510 4262401020 4333441037 8666882074 13000323111 17333764148 21667205185 26000646222 43334410370 52001292444 65001615555 86668820740 130003231110 260006462220