Search a number
-
+
6020545644 = 22367328283
BaseRepresentation
bin1011001101101101…
…00011110001101100
3120112120201102000000
411212312203301230
544312224430034
62433225104300
7302123536131
oct54666436154
916476642000
106020545644
11260a494063
121200328090
1374c410659
1441183a588
15253845599
hex166da3c6c

6020545644 has 84 divisors (see below), whose sum is σ = 16013665416. Its totient is φ = 1979287488.

The previous prime is 6020545639. The next prime is 6020545649. The reversal of 6020545644 is 4465450206.

6020545644 is a `hidden beast` number, since 6 + 0 + 2 + 0 + 5 + 4 + 5 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (6020545639) and next prime (6020545649).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6020545599 and 6020545608.

It is not an unprimeable number, because it can be changed into a prime (6020545649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 198727 + ... + 227009.

It is an arithmetic number, because the mean of its divisors is an integer number (190638874).

Almost surely, 26020545644 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 6020545644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8006832708).

6020545644 is an abundant number, since it is smaller than the sum of its proper divisors (9993119772).

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

6020545644 is a wasteful number, since it uses less digits than its factorization.

6020545644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28378 (or 28361 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 6020545644 is about 77592.1751467247. The cubic root of 6020545644 is about 1819.1923361565.

The spelling of 6020545644 in words is "six billion, twenty million, five hundred forty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 243 292 324 438 486 657 729 876 972 1314 1458 1971 2628 2916 3942 5913 7884 11826 17739 23652 28283 35478 53217 56566 70956 84849 106434 113132 169698 212868 254547 339396 509094 763641 1018188 1527282 2064659 2290923 3054564 4129318 4581846 6193977 6872769 8258636 9163692 12387954 13745538 18581931 20618307 24775908 27491076 37163862 41236614 55745793 74327724 82473228 111491586 167237379 222983172 334474758 501712137 668949516 1003424274 1505136411 2006848548 3010272822 6020545644