Search a number
-
+
6042390990 = 2352941612777
BaseRepresentation
bin1011010000010011…
…11001000111001110
3120121002211021011220
411220021321013032
544333323002430
62435325224210
7302510322156
oct55011710716
916532737156
106042390990
112620854869
121207702066
13753abb9ac
144146c5766
1525570d110
hex1682791ce

6042390990 has 128 divisors (see below), whose sum is σ = 15625249920. Its totient is φ = 1492377600.

The previous prime is 6042390989. The next prime is 6042391057. The reversal of 6042390990 is 990932406.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2174482 + ... + 2177258.

It is an arithmetic number, because the mean of its divisors is an integer number (122072265).

Almost surely, 26042390990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6042390990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812624960).

6042390990 is an abundant number, since it is smaller than the sum of its proper divisors (9582858930).

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

6042390990 is a wasteful number, since it uses less digits than its factorization.

6042390990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918.

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 6042390990 is about 77732.8179728485. The cubic root of 6042390990 is about 1821.3899728757.

The spelling of 6042390990 in words is "six billion, forty-two million, three hundred ninety thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 61 82 87 122 123 145 174 183 205 246 290 305 366 410 435 610 615 870 915 1189 1230 1769 1830 2378 2501 2777 3538 3567 5002 5307 5554 5945 7134 7503 8331 8845 10614 11890 12505 13885 15006 16662 17690 17835 25010 26535 27770 35670 37515 41655 53070 72529 75030 80533 83310 113857 145058 161066 169397 217587 227714 241599 338794 341571 362645 402665 435174 483198 508191 569285 683142 725290 805330 846985 1016382 1087935 1138570 1207995 1693970 1707855 2175870 2415990 2540955 3301853 3415710 4912513 5081910 6603706 6945277 9825026 9905559 13890554 14737539 16509265 19811118 20835831 24562565 29475078 33018530 34726385 41671662 49125130 49527795 69452770 73687695 99055590 104179155 147375390 201413033 208358310 402826066 604239099 1007065165 1208478198 2014130330 3021195495 6042390990