Search a number
-
+
6041405000 = 23544612621
BaseRepresentation
bin1011010000001100…
…01000011001001000
3120121000222011122202
411220012020121020
544333044430000
62435252135332
7302466044441
oct55006103110
916530864582
106041405000
112620240aa4
121207307548
13753834c77
1441450a2c8
152555b5dd5
hex168188648

6041405000 has 80 divisors (see below), whose sum is σ = 14191129260. Its totient is φ = 2410400000.

The previous prime is 6041404987. The next prime is 6041405017. The reversal of 6041405000 is 5041406.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 237098404 + 5804306596 = 15398^2 + 76186^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2303690 + ... + 2306310.

Almost surely, 26041405000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6041405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7095564630).

6041405000 is an abundant number, since it is smaller than the sum of its proper divisors (8149724260).

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

6041405000 is a wasteful number, since it uses less digits than its factorization.

6041405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 6041405000 is about 77726.4755408349. The cubic root of 6041405000 is about 1821.2908967542.

Adding to 6041405000 its reverse (5041406), we get a palindrome (6046446406).

The spelling of 6041405000 in words is "six billion, forty-one million, four hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 461 500 625 922 1000 1250 1844 2305 2500 2621 3688 4610 5000 5242 9220 10484 11525 13105 18440 20968 23050 26210 46100 52420 57625 65525 92200 104840 115250 131050 230500 262100 288125 327625 461000 524200 576250 655250 1152500 1208281 1310500 1638125 2305000 2416562 2621000 3276250 4833124 6041405 6552500 9666248 12082810 13105000 24165620 30207025 48331240 60414050 120828100 151035125 241656200 302070250 604140500 755175625 1208281000 1510351250 3020702500 6041405000