Search a number
-
+
2185704768 = 26313875683
BaseRepresentation
bin1000001001000111…
…0011010101000000
312122022210022021110
42002101303111000
513434020023033
61000515123320
7105110120052
oct20221632500
95568708243
102185704768
11a21856385
1250bba3540
1328aa97a40
1416a3d98d2
15cbd46363
hex82473540

2185704768 has 56 divisors (see below), whose sum is σ = 6227864608. Its totient is φ = 672523776.

The previous prime is 2185704751. The next prime is 2185704769. The reversal of 2185704768 is 8674075812.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2185704769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435346 + ... + 440337.

It is an arithmetic number, because the mean of its divisors is an integer number (111211868).

Almost surely, 22185704768 is an apocalyptic number.

It is an amenable number.

2185704768 is an abundant number, since it is smaller than the sum of its proper divisors (4042159840).

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

2185704768 is a wasteful number, since it uses less digits than its factorization.

2185704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875711 (or 875701 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The square root of 2185704768 is about 46751.5215581269. The cubic root of 2185704768 is about 1297.7683146902.

The spelling of 2185704768 in words is "two billion, one hundred eighty-five million, seven hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 875683 1751366 2627049 3502732 5254098 7005464 10508196 11383879 14010928 21016392 22767758 28021856 34151637 42032784 45535516 56043712 68303274 84065568 91071032 136606548 168131136 182142064 273213096 364284128 546426192 728568256 1092852384 2185704768