Search a number
-
+
1068266880 = 273556869
BaseRepresentation
bin111111101011000…
…111010110000000
32202110010120200000
4333223013112000
54141434020010
6254000400000
735321055462
oct7753072600
92673116600
101068266880
114a901079a
12259916000
1314041cba5
14a1c3c132
1563bb87c0
hex3fac7580

1068266880 has 192 divisors, whose sum is σ = 3826040400. Its totient is φ = 284829696.

The previous prime is 1068266867. The next prime is 1068266891. The reversal of 1068266880 is 886628601.

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

It is a super-2 number, since 2×10682668802 = 2282388253809868800, 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, 152086 + ... + 158954.

Almost surely, 21068266880 is an apocalyptic number.

1068266880 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 1068266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913020200).

1068266880 is an abundant number, since it is smaller than the sum of its proper divisors (2757773520).

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

1068266880 is an frugal number, since it uses more digits than its factorization.

1068266880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6903 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1068266880 is about 32684.3522193725. The cubic root of 1068266880 is about 1022.2565956375.

The spelling of 1068266880 in words is "one billion, sixty-eight million, two hundred sixty-six thousand, eight hundred eighty".