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960093056 = 2713244383
BaseRepresentation
bin111001001110011…
…101101110000000
32110220120210002002
4321032131232000
53431240434211
6235134043132
732535441056
oct7116355600
92426523062
10960093056
11452a4713a
122296494a8
13123ba6b00
14917201d6
155944c03b
hex3939db80

960093056 has 48 divisors (see below), whose sum is σ = 2071179360. Its totient is φ = 443109888.

The previous prime is 960093041. The next prime is 960093061. The reversal of 960093056 is 650390069.

960093056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 560 + ... + 43823.

It is an arithmetic number, because the mean of its divisors is an integer number (43149570).

Almost surely, 2960093056 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 960093056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035589680).

960093056 is an abundant number, since it is smaller than the sum of its proper divisors (1111086304).

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

960093056 is a wasteful number, since it uses less digits than its factorization.

960093056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44423 (or 44398 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 38.

The square root of 960093056 is about 30985.3684180130. The cubic root of 960093056 is about 986.5167031233.

The spelling of 960093056 in words is "nine hundred sixty million, ninety-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 44383 88766 177532 355064 576979 710128 1153958 1420256 2307916 2840512 4615832 5681024 7500727 9231664 15001454 18463328 30002908 36926656 60005816 73853312 120011632 240023264 480046528 960093056