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1068318720 = 214345723
BaseRepresentation
bin111111101011010…
…100000000000000
32202110020012210000
4333223110000000
54141442144340
6254001440000
735321362560
oct7753240000
92673205700
101068318720
114a9046737
12259940000
1314043a671
14a1c52da0
1563bc8d30
hex3fad4000

1068318720 has 600 divisors, whose sum is σ = 4567457664. Its totient is φ = 233570304.

The previous prime is 1068318679. The next prime is 1068318737. The reversal of 1068318720 is 278138601.

It is a super-2 number, since 2×10683187202 = 2282609775004876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46448629 + ... + 46448651.

Almost surely, 21068318720 is an apocalyptic number.

1068318720 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 1068318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283728832).

1068318720 is an abundant number, since it is smaller than the sum of its proper divisors (3499138944).

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

1068318720 is an frugal number, since it uses more digits than its factorization.

1068318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1068318720 is about 32685.1452497920. The cubic root of 1068318720 is about 1022.2731311200.

It can be divided in two parts, 10683 and 18720, that added together give a triangular number (29403 = T242).

The spelling of 1068318720 in words is "one billion, sixty-eight million, three hundred eighteen thousand, seven hundred twenty".