Search a number
-
+
1605055116 = 223737598753
BaseRepresentation
bin101111110101011…
…0011001010001100
311010212012020200210
41133222303022030
511241343230431
6423133522420
754526512660
oct13752631214
94125166623
101605055116
11754014735
12389643410
131c76b5972
1411324c8a0
1595d9bd46
hex5fab328c

1605055116 has 96 divisors (see below), whose sum is σ = 4470842880. Its totient is φ = 438580224.

The previous prime is 1605055091. The next prime is 1605055121. The reversal of 1605055116 is 6115505061.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178996 + ... + 187748.

It is an arithmetic number, because the mean of its divisors is an integer number (46571280).

Almost surely, 21605055116 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 1605055116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235421440).

1605055116 is an abundant number, since it is smaller than the sum of its proper divisors (2865787764).

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

1605055116 is a wasteful number, since it uses less digits than its factorization.

1605055116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 1605055116 is about 40063.1391181470. The cubic root of 1605055116 is about 1170.8375710567.

The spelling of 1605055116 in words is "one billion, six hundred five million, fifty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 59 74 84 111 118 148 177 222 236 259 354 413 444 518 708 777 826 1036 1239 1554 1652 2183 2478 3108 4366 4956 6549 8732 8753 13098 15281 17506 26196 26259 30562 35012 45843 52518 61124 61271 91686 105036 122542 183372 183813 245084 323861 367626 516427 647722 735252 971583 1032854 1295444 1549281 1943166 2065708 2267027 3098562 3614989 3886332 4534054 6197124 6801081 7229978 9068108 10844967 13602162 14459956 19107799 21689934 27204324 38215598 43379868 57323397 76431196 114646794 133754593 229293588 267509186 401263779 535018372 802527558 1605055116