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1068406080 = 26357374297
BaseRepresentation
bin111111101011101…
…001010101000000
32202110101122121120
4333223221111000
54142002443310
6254003352240
735322205350
oct7753512500
92673348546
101068406080
114a90a6335
12259982680
1314046b361
14a1c76b60
1563be4b70
hex3fae9540

1068406080 has 224 divisors, whose sum is σ = 3982492416. Its totient is φ = 237551616.

The previous prime is 1068406069. The next prime is 1068406099. The reversal of 1068406080 is 806048601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10684060802 = 2282983103561932800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246492 + ... + 250788.

It is an arithmetic number, because the mean of its divisors is an integer number (17778984).

Almost surely, 21068406080 is an apocalyptic number.

1068406080 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 1068406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991246208).

1068406080 is an abundant number, since it is smaller than the sum of its proper divisors (2914086336).

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

1068406080 is a wasteful number, since it uses less digits than its factorization.

1068406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 1068406080 is about 32686.4816093748. The cubic root of 1068406080 is about 1022.3009952598.

The spelling of 1068406080 in words is "one billion, sixty-eight million, four hundred six thousand, eighty".