Search a number
-
+
6004561230 = 2325611139679
BaseRepresentation
bin1011001011110011…
…00101010101001110
3120111110122022111200
411211321211111032
544244131424410
62431454330330
7301540633263
oct54571452516
916443568450
106004561230
1126014667a8
1211b6ab99a6
13749004c15
1440d67926a
152522393c0
hex165e6554e

6004561230 has 96 divisors (see below), whose sum is σ = 16009868160. Its totient is φ = 1560867840.

The previous prime is 6004561229. The next prime is 6004561231. The reversal of 6004561230 is 321654006.

6004561230 is a `hidden beast` number, since 6 + 0 + 0 + 45 + 612 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6004561229) and next prime (6004561231).

It is a super-2 number, since 2×60045612302 = 72109511129638225800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6004561194 and 6004561203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004561231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615531 + ... + 625209.

It is an arithmetic number, because the mean of its divisors is an integer number (166769460).

Almost surely, 26004561230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6004561230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004934080).

6004561230 is an abundant number, since it is smaller than the sum of its proper divisors (10005306930).

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

6004561230 is a wasteful number, since it uses less digits than its factorization.

6004561230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9866 (or 9863 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6004561230 is about 77489.1039437159. The cubic root of 6004561230 is about 1817.5809375865.

The spelling of 6004561230 in words is "six billion, four million, five hundred sixty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 113 122 183 226 305 339 366 549 565 610 678 915 1017 1098 1130 1695 1830 2034 2745 3390 5085 5490 6893 9679 10170 13786 19358 20679 29037 34465 41358 48395 58074 62037 68930 87111 96790 103395 124074 145185 174222 206790 290370 310185 435555 590419 620370 871110 1093727 1180838 1771257 2187454 2952095 3281181 3542514 5313771 5468635 5904190 6562362 8856285 9843543 10627542 10937270 16405905 17712570 19687086 26568855 32811810 49217715 53137710 66717347 98435430 133434694 200152041 333586735 400304082 600456123 667173470 1000760205 1200912246 2001520410 3002280615 6004561230