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1078968960 = 27325199859
BaseRepresentation
bin100000001001111…
…1100001010000000
32210012021022011100
41000103330022000
54202204001320
6255022014400
735511041046
oct10023741200
92705238140
101078968960
11504060393
12261417400
131426c9194
14a3426396
1564ace790
hex404fc280

1078968960 has 192 divisors, whose sum is σ = 3922308000. Its totient is φ = 272553984.

The previous prime is 1078968959. The next prime is 1078968973. The reversal of 1078968960 is 698698701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 1078968897 and 1078968906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104511 + ... + 114369.

Almost surely, 21078968960 is an apocalyptic number.

1078968960 is a gapful number since it is divisible by the number (10) 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 1078968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961154000).

1078968960 is an abundant number, since it is smaller than the sum of its proper divisors (2843339040).

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

1078968960 is a wasteful number, since it uses less digits than its factorization.

1078968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 1078968960 is about 32847.6629305648. The cubic root of 1078968960 is about 1025.6589726466.

The spelling of 1078968960 in words is "one billion, seventy-eight million, nine hundred sixty-eight thousand, nine hundred sixty".