Search a number
-
+
1330896 = 243717233
BaseRepresentation
bin101000100111011010000
32111121122110
411010323100
5320042041
644305320
714212110
oct5047320
92447573
101330896
11829a16
12542240
13377a18
14269040
151b4516
hex144ed0

1330896 has 80 divisors (see below), whose sum is σ = 4178304. Its totient is φ = 356352.

The previous prime is 1330873. The next prime is 1330909. The reversal of 1330896 is 6980331.

1330896 is a nontrivial binomial coefficient, being equal to C(1632, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5596 + ... + 5828.

21330896 is an apocalyptic number.

1330896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1330896 is the 1631-st triangular number and also the 816-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152).

1330896 is an abundant number, since it is smaller than the sum of its proper divisors (2847408).

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

1330896 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1330895) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (262).

1330896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1330896 is about 1153.6446593297. The cubic root of 1330896 is about 109.9971349116.

The spelling of 1330896 in words is "one million, three hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 233 238 272 336 357 408 466 476 699 714 816 932 952 1398 1428 1631 1864 1904 2796 2856 3262 3728 3961 4893 5592 5712 6524 7922 9786 11184 11883 13048 15844 19572 23766 26096 27727 31688 39144 47532 55454 63376 78288 83181 95064 110908 166362 190128 221816 332724 443632 665448 1330896