Search a number
-
+
2820256110 = 233572775387
BaseRepresentation
bin1010100000011001…
…1011000101101110
321021112210212002000
42220012123011232
521233441143420
61143503513130
7126613532010
oct25006330556
97245725060
102820256110
111217a63181
126685b87a6
1335c3a00c9
141ca7b81b0
151178db690
hexa819b16e

2820256110 has 128 divisors (see below), whose sum is σ = 8627696640. Its totient is φ = 642183552.

The previous prime is 2820256097. The next prime is 2820256129. The reversal of 2820256110 is 116520282.

It is a happy number.

2820256110 is a `hidden beast` number, since 2 + 8 + 20 + 25 + 611 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520837 + ... + 526223.

It is an arithmetic number, because the mean of its divisors is an integer number (67403880).

Almost surely, 22820256110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2820256110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313848320).

2820256110 is an abundant number, since it is smaller than the sum of its proper divisors (5807440530).

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

2820256110 is a wasteful number, since it uses less digits than its factorization.

2820256110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2820256110 is about 53106.0835498156. The cubic root of 2820256110 is about 1412.8504130754.

Adding to 2820256110 its reverse (116520282), we get a palindrome (2936776392).

The spelling of 2820256110 in words is "two billion, eight hundred twenty million, two hundred fifty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 277 315 378 554 630 831 945 1385 1662 1890 1939 2493 2770 3878 4155 4986 5387 5817 7479 8310 9695 10774 11634 12465 14958 16161 17451 19390 24930 26935 29085 32322 34902 37395 37709 48483 52353 53870 58170 74790 75418 80805 87255 96966 104706 113127 145449 161610 174510 188545 226254 242415 261765 290898 339381 377090 484830 523530 565635 678762 727245 1018143 1131270 1454490 1492199 1696905 2036286 2984398 3393810 4476597 5090715 7460995 8953194 10181430 10445393 13429791 14921990 20890786 22382985 26859582 31336179 40289373 44765970 52226965 62672358 67148955 80578746 94008537 104453930 134297910 156680895 188017074 201446865 282025611 313361790 402893730 470042685 564051222 940085370 1410128055 2820256110