Search a number
-
+
960454656 = 2133271861
BaseRepresentation
bin111001001111110…
…110000000000000
32110221021011002200
4321033312000000
53431334022111
6235145513200
732541505230
oct7117660000
92427234080
10960454656
11453173887
122297a2800
13123ca2585
14917b5cc0
15594be256
hex393f6000

960454656 has 168 divisors, whose sum is σ = 3172535184. Its totient is φ = 274268160.

The previous prime is 960454639. The next prime is 960454667. The reversal of 960454656 is 656454069.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515166 + ... + 517026.

It is an arithmetic number, because the mean of its divisors is an integer number (18884138).

Almost surely, 2960454656 is an apocalyptic number.

960454656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586267592).

960454656 is an abundant number, since it is smaller than the sum of its proper divisors (2212080528).

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

960454656 is a wasteful number, since it uses less digits than its factorization.

960454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 960454656 is about 30991.2028808176. The cubic root of 960454656 is about 986.6405382254.

The spelling of 960454656 in words is "nine hundred sixty million, four hundred fifty-four thousand, six hundred fifty-six".