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1468090290 = 2351910724071
BaseRepresentation
bin101011110000001…
…0100011110110010
310210022110201021110
41113200110132302
511001312342130
6401402134150
751244363422
oct12740243662
93708421243
101468090290
11693775a67
1234b7b1356
131a51cbca4
14dcd98482
1588d44ab0
hex578147b2

1468090290 has 64 divisors (see below), whose sum is σ = 3743677440. Its totient is φ = 367404480.

The previous prime is 1468090289. The next prime is 1468090313. The reversal of 1468090290 is 920908641.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48955 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (58494960).

Almost surely, 21468090290 is an apocalyptic number.

1468090290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468090290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871838720).

1468090290 is an abundant number, since it is smaller than the sum of its proper divisors (2275587150).

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

1468090290 is a wasteful number, since it uses less digits than its factorization.

1468090290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24207.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1468090290 is about 38315.6663781279. Note that the first 3 decimals coincide. The cubic root of 1468090290 is about 1136.5387707750.

The spelling of 1468090290 in words is "one billion, four hundred sixty-eight million, ninety thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 107 114 190 214 285 321 535 570 642 1070 1605 2033 3210 4066 6099 10165 12198 20330 24071 30495 48142 60990 72213 120355 144426 240710 361065 457349 722130 914698 1372047 2286745 2575597 2744094 4573490 5151194 6860235 7726791 12877985 13720470 15453582 25755970 38633955 48936343 77267910 97872686 146809029 244681715 293618058 489363430 734045145 1468090290