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1068503040 = 212325111731
BaseRepresentation
bin111111101100000…
…001000000000000
32202110120120121200
4333230001000000
54142014044130
6254005421200
735323061133
oct7754010000
92673516550
101068503040
114a9162170
12259a0a800
131404a3527
14a1ca021a
1563c13760
hex3fb01000

1068503040 has 624 divisors, whose sum is σ = 4416062976. Its totient is φ = 235929600.

The previous prime is 1068502997. The next prime is 1068503053. The reversal of 1068503040 is 403058601.

It is a super-2 number, since 2×10685030402 = 2283397492978483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068502995 and 1068503013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34467825 + ... + 34467855.

It is an arithmetic number, because the mean of its divisors is an integer number (7077024).

Almost surely, 21068503040 is an apocalyptic number.

1068503040 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 1068503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208031488).

1068503040 is an abundant number, since it is smaller than the sum of its proper divisors (3347559936).

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

1068503040 is a wasteful number, since it uses less digits than its factorization.

1068503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1068503040 is about 32687.9647576903. The cubic root of 1068503040 is about 1022.3319196146.

The spelling of 1068503040 in words is "one billion, sixty-eight million, five hundred three thousand, forty".