Search a number
-
+
6005799090 = 2325193345757
BaseRepresentation
bin1011001011111100…
…10011100010110010
3120111112222012112100
411211332103202302
544244441032330
62431541041230
7301554310224
oct54576234262
916445865470
106005799090
112602131825
1211b73b6216
13749349495
1440d8bc414
152523d1060
hex165f938b2

6005799090 has 48 divisors (see below), whose sum is σ = 15696030168. Its totient is φ = 1593243648.

The previous prime is 6005799089. The next prime is 6005799097. The reversal of 6005799090 is 909975006.

It can be written as a sum of positive squares in 4 ways, for example, as 2889815049 + 3115984041 = 53757^2 + 55821^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6005799097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155509 + ... + 190248.

Almost surely, 26005799090 is an apocalyptic number.

6005799090 is an abundant number, since it is smaller than the sum of its proper divisors (9690231078).

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

6005799090 is a wasteful number, since it uses less digits than its factorization.

6005799090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345963 (or 345960 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 6005799090 is about 77497.0908486248. The cubic root of 6005799090 is about 1817.7058290960.

The spelling of 6005799090 in words is "six billion, five million, seven hundred ninety-nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 193 386 579 965 1158 1737 1930 2895 3474 5790 8685 17370 345757 691514 1037271 1728785 2074542 3111813 3457570 5186355 6223626 10372710 15559065 31118130 66731101 133462202 200193303 333655505 400386606 600579909 667311010 1000966515 1201159818 2001933030 3002899545 6005799090