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6053331340 = 2257614331637
BaseRepresentation
bin1011010001100111…
…01000000110001100
3120121212102002112001
411220303220012030
544344123100330
62440355522044
7303002316220
oct55063500614
916555362461
106053331340
112626a47481
12120b2b9324
1375614c584
14415d32780
1525666e9ca
hex168ce818c

6053331340 has 96 divisors (see below), whose sum is σ = 14809302144. Its totient is φ = 2035445760.

The previous prime is 6053331311. The next prime is 6053331359. The reversal of 6053331340 is 431333506.

It is a super-3 number, since 3×60533313403 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6053331299 and 6053331308.

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, 3697002 + ... + 3698638.

It is an arithmetic number, because the mean of its divisors is an integer number (154263564).

Almost surely, 26053331340 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 6053331340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7404651072).

6053331340 is an abundant number, since it is smaller than the sum of its proper divisors (8755970804).

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

6053331340 is a wasteful number, since it uses less digits than its factorization.

6053331340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

The square root of 6053331340 is about 77803.1576480030. The cubic root of 6053331340 is about 1822.4885793443.

Adding to 6053331340 its reverse (431333506), we get a palindrome (6484664846).

The spelling of 6053331340 in words is "six billion, fifty-three million, three hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 433 610 854 866 1220 1637 1708 1732 2135 2165 3031 3274 4270 4330 6062 6548 8185 8540 8660 11459 12124 15155 16370 22918 26413 30310 32740 45836 52826 57295 60620 99857 105652 114590 132065 184891 199714 229180 264130 369782 399428 499285 528260 698999 708821 739564 924455 998570 1397998 1417642 1848910 1997140 2795996 2835284 3494995 3544105 3697820 4961747 6989990 7088210 9923494 13979980 14176420 19846988 24808735 43238081 49617470 86476162 99234940 172952324 216190405 302666567 432380810 605333134 864761620 1210666268 1513332835 3026665670 6053331340