Search a number
-
+
1306070560 = 25517716763
BaseRepresentation
bin100110111011001…
…0000111000100000
310101000121020222201
41031312100320200
510133323224220
6333333342544
744236262614
oct11566207040
93330536881
101306070560
11610274163
12305497a54
1317a782122
14c5661344
15799ddd0a
hex4dd90e20

1306070560 has 96 divisors (see below), whose sum is σ = 3313602432. Its totient is φ = 484700160.

The previous prime is 1306070537. The next prime is 1306070599. The reversal of 1306070560 is 650706031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189739 + ... + 196501.

It is an arithmetic number, because the mean of its divisors is an integer number (34516692).

Almost surely, 21306070560 is an apocalyptic number.

1306070560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1306070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656801216).

1306070560 is an abundant number, since it is smaller than the sum of its proper divisors (2007531872).

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

1306070560 is a wasteful number, since it uses less digits than its factorization.

1306070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 1306070560 is about 36139.5982268757. The cubic root of 1306070560 is about 1093.0890573976.

Adding to 1306070560 its reverse (650706031), we get a palindrome (1956776591).

The spelling of 1306070560 in words is "one billion, three hundred six million, seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 71 80 85 136 142 160 170 272 284 340 355 544 568 680 710 1136 1207 1360 1420 2272 2414 2720 2840 4828 5680 6035 6763 9656 11360 12070 13526 19312 24140 27052 33815 38624 48280 54104 67630 96560 108208 114971 135260 193120 216416 229942 270520 459884 480173 541040 574855 919768 960346 1082080 1149710 1839536 1920692 2299420 2400865 3679072 3841384 4598840 4801730 7682768 8162941 9197680 9603460 15365536 16325882 18395360 19206920 32651764 38413840 40814705 65303528 76827680 81629410 130607056 163258820 261214112 326517640 653035280 1306070560