Search a number
-
+
6102683004 = 223111011672741
BaseRepresentation
bin1011010111011111…
…11000110101111100
3120202022021102021110
411223233320311330
544444241324004
62445321402020
7304141643505
oct55357706574
916668242243
106102683004
112651895080
121223939310
1376343b842
1441c6dbbac
1525ab6c589
hex16bbf8d7c

6102683004 has 96 divisors (see below), whose sum is σ = 15787602432. Its totient is φ = 1819360000.

The previous prime is 6102682997. The next prime is 6102683009. The reversal of 6102683004 is 4003862016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6102683009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2225074 + ... + 2227814.

It is an arithmetic number, because the mean of its divisors is an integer number (164454192).

Almost surely, 26102683004 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 6102683004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893801216).

6102683004 is an abundant number, since it is smaller than the sum of its proper divisors (9684919428).

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

6102683004 is a wasteful number, since it uses less digits than its factorization.

6102683004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 6102683004 is about 78119.6710438542. The cubic root of 6102683004 is about 1827.4279816393.

The spelling of 6102683004 in words is "six billion, one hundred two million, six hundred eighty-three thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 167 202 303 334 404 501 606 668 1002 1111 1212 1837 2004 2222 2741 3333 3674 4444 5482 5511 6666 7348 8223 10964 11022 13332 16446 16867 22044 30151 32892 33734 50601 60302 67468 90453 101202 120604 180906 185537 202404 276841 361812 371074 457747 553682 556611 742148 830523 915494 1107364 1113222 1373241 1661046 1830988 2226444 2746482 3045251 3322092 5035217 5492964 6090502 9135753 10070434 12181004 15105651 18271506 20140868 30211302 36543012 46232447 60422604 92464894 138697341 184929788 277394682 508556917 554789364 1017113834 1525670751 2034227668 3051341502 6102683004