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1068574080 = 27357433
BaseRepresentation
bin111111101100010…
…010010110000000
32202110201012001210
4333230102112000
54142023332310
6254011130120
735323505220
oct7754222600
92673635053
101068574080
114a9200582
12259a43940
131404c9972
14a1cbc080
1563c29820
hex3fb12580

1068574080 has 256 divisors, whose sum is σ = 3985344000. Its totient is φ = 238565376.

The previous prime is 1068574057. The next prime is 1068574109. The reversal of 1068574080 is 804758601.

It is a super-2 number, since 2×10685740802 = 2283701128895692800, 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, 24850539 + ... + 24850581.

It is an arithmetic number, because the mean of its divisors is an integer number (15567750).

Almost surely, 21068574080 is an apocalyptic number.

1068574080 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 1068574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992672000).

1068574080 is an abundant number, since it is smaller than the sum of its proper divisors (2916769920).

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

1068574080 is an frugal number, since it uses more digits than its factorization.

1068574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 1068574080 is about 32689.0513780991. The cubic root of 1068574080 is about 1022.3545758753.

The spelling of 1068574080 in words is "one billion, sixty-eight million, five hundred seventy-four thousand, eighty".