Search a number
-
+
208020983440 = 2452989664217
BaseRepresentation
bin1100000110111100000…
…1000100111010010000
3201212221100011212021011
43001233001010322100
511402011332432230
6235321415340304
721012645120244
oct3015701047220
9655840155234
10208020983440
1180248470836
1234395981694
1316801ccb21a
14a0d548c424
155627716e2a
hex306f044e90

208020983440 has 40 divisors (see below), whose sum is σ = 500326336440. Its totient is φ = 80339137536.

The previous prime is 208020983407. The next prime is 208020983537. The reversal of 208020983440 is 44389020802.

It can be written as a sum of positive squares in 4 ways, for example, as 26602914816 + 181418068624 = 163104^2 + 425932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 208020983393 and 208020983402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44829789 + ... + 44834428.

It is an arithmetic number, because the mean of its divisors is an integer number (12508158411).

Almost surely, 2208020983440 is an apocalyptic number.

208020983440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

208020983440 is an abundant number, since it is smaller than the sum of its proper divisors (292305353000).

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

208020983440 is a wasteful number, since it uses less digits than its factorization.

208020983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89664259 (or 89664253 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 208020983440 in words is "two hundred eight billion, twenty million, nine hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 89664217 179328434 358656868 448321085 717313736 896642170 1434627472 1793284340 2600262293 3586568680 5200524586 7173137360 10401049172 13001311465 20802098344 26002622930 41604196688 52005245860 104010491720 208020983440