Search a number
-
+
1289096856 = 233415712671
BaseRepresentation
bin100110011010110…
…0000111010011000
310022211122220110000
41030311200322120
510120002044411
6331525453000
743642066605
oct11465407230
93284586400
101289096856
11601730603
122bb871160
131770bb308
14c32c36ac
1578289956
hex4cd60e98

1289096856 has 80 divisors (see below), whose sum is σ = 3633949440. Its totient is φ = 426928320.

The previous prime is 1289096833. The next prime is 1289096873. The reversal of 1289096856 is 6586909821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95401 + ... + 108071.

It is an arithmetic number, because the mean of its divisors is an integer number (45424368).

Almost surely, 21289096856 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 1289096856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816974720).

1289096856 is an abundant number, since it is smaller than the sum of its proper divisors (2344852584).

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

1289096856 is a wasteful number, since it uses less digits than its factorization.

1289096856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12846 (or 12833 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1289096856 is about 35903.9949866307. The cubic root of 1289096856 is about 1088.3331299501. Note that the first 3 decimals are identical.

It can be divided in two parts, 12890 and 96856, that added together give a triangular number (109746 = T468).

The spelling of 1289096856 in words is "one billion, two hundred eighty-nine million, ninety-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 314 324 471 628 648 942 1256 1413 1884 2826 3768 4239 5652 8478 11304 12671 12717 16956 25342 25434 33912 38013 50684 50868 76026 101368 101736 114039 152052 228078 304104 342117 456156 684234 912312 1026351 1368468 1989347 2052702 2736936 3978694 4105404 5968041 7957388 8210808 11936082 15914776 17904123 23872164 35808246 47744328 53712369 71616492 107424738 143232984 161137107 214849476 322274214 429698952 644548428 1289096856