Search a number
-
+
6080000040 = 2332537694481
BaseRepresentation
bin1011010100110010…
…10111000000101000
3120200201121000002200
411222121113000220
544422440000130
62443151300200
7303445101432
oct55231270050
916621530080
106080000040
112640002024
12121821a660
1375b82917a
144196b5652
15258b8b760
hex16a657028

6080000040 has 96 divisors (see below), whose sum is σ = 19769653800. Its totient is φ = 1620541440.

The previous prime is 6080000039. The next prime is 6080000083. The reversal of 6080000040 is 400000806.

It can be written as a sum of positive squares in 4 ways, for example, as 5973125796 + 106874244 = 77286^2 + 10338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6079999968 and 6080000022.

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, 1354600 + ... + 1359080.

Almost surely, 26080000040 is an apocalyptic number.

6080000040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6080000040 is an abundant number, since it is smaller than the sum of its proper divisors (13689653760).

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

6080000040 is a wasteful number, since it uses less digits than its factorization.

6080000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6080000040 is about 77974.3550149663. The cubic root of 6080000040 is about 1825.1610581573.

Adding to 6080000040 its reverse (400000806), we get a palindrome (6480000846).

The spelling of 6080000040 in words is "six billion, eighty million, forty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3769 4481 7538 8962 11307 13443 15076 17924 18845 22405 22614 26886 30152 33921 35848 37690 40329 44810 45228 53772 56535 67215 67842 75380 80658 89620 90456 107544 113070 134430 135684 150760 161316 169605 179240 201645 226140 268860 271368 322632 339210 403290 452280 537720 678420 806580 1356840 1613160 16888889 33777778 50666667 67555556 84444445 101333334 135111112 152000001 168888890 202666668 253333335 304000002 337777780 405333336 506666670 608000004 675555560 760000005 1013333340 1216000008 1520000010 2026666680 3040000020 6080000040