Search a number
-
+
3036561220 = 2257114434451
BaseRepresentation
bin1011010011111110…
…0011111101000100
321211121211021220101
42310333203331010
522204324424340
61221152013444
7135151226110
oct26477437504
97747737811
103036561220
111319072430
12708b31284
13395145ab4
1420b402740
1512b8b6c9a
hexb4fe3f44

3036561220 has 96 divisors (see below), whose sum is σ = 7970006016. Its totient is φ = 944112000.

The previous prime is 3036561179. The next prime is 3036561257. The reversal of 3036561220 is 221656303.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 679995 + ... + 684445.

It is an arithmetic number, because the mean of its divisors is an integer number (83020896).

Almost surely, 23036561220 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 3036561220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3985003008).

3036561220 is an abundant number, since it is smaller than the sum of its proper divisors (4933444796).

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

3036561220 is a wasteful number, since it uses less digits than its factorization.

3036561220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3036561220 is about 55105.0017693494. The cubic root of 3036561220 is about 1448.0848628316.

The spelling of 3036561220 in words is "three billion, thirty-six million, five hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 443 770 886 1540 1772 2215 3101 4430 4451 4873 6202 8860 8902 9746 12404 15505 17804 19492 22255 24365 31010 31157 34111 44510 48730 48961 62020 62314 68222 89020 97460 97922 124628 136444 155785 170555 195844 244805 311570 341110 342727 489610 623140 682220 685454 979220 1370908 1713635 1971793 3427270 3943586 6854540 7887172 9858965 13802551 19717930 21689723 27605102 39435860 43379446 55210204 69012755 86758892 108448615 138025510 151828061 216897230 276051020 303656122 433794460 607312244 759140305 1518280610 3036561220