Search a number
-
+
6004428180 = 2235791266757
BaseRepresentation
bin1011001011110010…
…00100110110010100
3120111110101112222220
411211321010312110
544244113200210
62431451422340
7301536540342
oct54571046624
916443345886
106004428180
112601385843
1211b6a549b0
13748c894aa
1440d642992
1525220ec70
hex165e44d94

6004428180 has 48 divisors (see below), whose sum is σ = 17025227520. Its totient is φ = 1580911488.

The previous prime is 6004428151. The next prime is 6004428187. The reversal of 6004428180 is 818244006.

It is a super-2 number, since 2×60044281802 = 72106315537556224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6004428187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628639 + ... + 638118.

It is an arithmetic number, because the mean of its divisors is an integer number (354692240).

Almost surely, 26004428180 is an apocalyptic number.

6004428180 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6004428180 is an abundant number, since it is smaller than the sum of its proper divisors (11020799340).

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

6004428180 is a wasteful number, since it uses less digits than its factorization.

6004428180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266848 (or 1266846 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 6004428180 is about 77488.2454311620. The cubic root of 6004428180 is about 1817.5675127404.

It can be divided in two parts, 60044281 and 80, that added together give a triangular number (60044361 = T10958).

The spelling of 6004428180 in words is "six billion, four million, four hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 1266757 2533514 3800271 5067028 6333785 7600542 12667570 15201084 19001355 25335140 38002710 76005420 100073803 200147606 300221409 400295212 500369015 600442818 1000738030 1200885636 1501107045 2001476060 3002214090 6004428180