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1068096960 = 26325752981
BaseRepresentation
bin111111101010011…
…101110111000000
32202102210221120200
4333222131313000
54141413100320
6253553005200
735316450210
oct7752356700
92672727520
101068096960
114a8a05067
12259853800
13140390748
14a1bd6240
1563b83290
hex3fa9ddc0

1068096960 has 168 divisors, whose sum is σ = 4198717536. Its totient is φ = 244131840.

The previous prime is 1068096959. The next prime is 1068096979. The reversal of 1068096960 is 696908601.

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

It is a super-2 number, since 2×10680969602 = 2281662231922483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 6331 + ... + 46650.

Almost surely, 21068096960 is an apocalyptic number.

1068096960 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 1068096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099358768).

1068096960 is an abundant number, since it is smaller than the sum of its proper divisors (3130620576).

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

1068096960 is a wasteful number, since it uses less digits than its factorization.

1068096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53011 (or 52998 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1068096960 is about 32681.7527069770. The cubic root of 1068096960 is about 1022.2023922499.

The spelling of 1068096960 in words is "one billion, sixty-eight million, ninety-six thousand, nine hundred sixty".