Search a number
-
+
2410201420 = 2251148231
BaseRepresentation
bin1000111110101000…
…1100000101001100
320012222012220210021
42033222030011030
514414002421140
61035054551524
7113504242204
oct21752140514
96188186707
102410201420
111027550000
125732085a4
132c544b0b3
1418c157404
15e18ddb4a
hex8fa8c14c

2410201420 has 60 divisors (see below), whose sum is σ = 5568207120. Its totient is φ = 876330400.

The previous prime is 2410201373. The next prime is 2410201457. The reversal of 2410201420 is 241020142.

It is a junction number, because it is equal to n+sod(n) for n = 2410201394 and 2410201403.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288705 + ... + 296935.

It is an arithmetic number, because the mean of its divisors is an integer number (92803452).

Almost surely, 22410201420 is an apocalyptic number.

2410201420 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 2410201420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784103560).

2410201420 is an abundant number, since it is smaller than the sum of its proper divisors (3158005700).

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

2410201420 is an equidigital number, since it uses as much as digits as its factorization.

2410201420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8284 (or 8249 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2410201420 is about 49093.8022564967. The cubic root of 2410201420 is about 1340.7602094618.

Adding to 2410201420 its reverse (241020142), we get a palindrome (2651221562).

The spelling of 2410201420 in words is "two billion, four hundred ten million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1331 2420 2662 5324 6655 8231 13310 14641 16462 26620 29282 32924 41155 58564 73205 82310 90541 146410 164620 181082 292820 362164 452705 905410 995951 1810820 1991902 3983804 4979755 9959510 10955461 19919020 21910922 43821844 54777305 109554610 120510071 219109220 241020142 482040284 602550355 1205100710 2410201420