Search a number
-
+
678869128 = 23724736847
BaseRepresentation
bin101000011101101…
…011100010001000
31202022102010101001
4220131223202020
52342242303003
6151210304344
722552202200
oct5035534210
91668363331
10678869128
11319227473
1216b4280b4
13aa851312
1466237400
153e8eb61d
hex2876b888

678869128 has 48 divisors (see below), whose sum is σ = 1512241920. Its totient is φ = 284745888.

The previous prime is 678869123. The next prime is 678869141. The reversal of 678869128 is 821968876.

678869128 is a nontrivial binomial coefficient, being equal to C(36848, 2).

It is not an unprimeable number, because it can be changed into a prime (678869123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1 + ... + 36847.

It is an arithmetic number, because the mean of its divisors is an integer number (31505040).

Almost surely, 2678869128 is an apocalyptic number.

678869128 is the 36847-th triangular number and also the 18424-th hexagonal number.

678869128 is the 12283-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678869128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756120960).

678869128 is an abundant number, since it is smaller than the sum of its proper divisors (833372792).

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

678869128 is a wasteful number, since it uses less digits than its factorization.

678869128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36914 (or 36903 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 55.

The square root of 678869128 is about 26055.1171173725. The cubic root of 678869128 is about 878.8781883064.

The spelling of 678869128 in words is "six hundred seventy-eight million, eight hundred sixty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1316 2303 2632 4606 9212 18424 36847 73694 147388 257929 294776 515858 1031716 1731809 1805503 2063432 3463618 3611006 6927236 7222012 12122663 13854472 14444024 24245326 48490652 84858641 96981304 169717282 339434564 678869128