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1068357840 = 24351119359
BaseRepresentation
bin111111101011011…
…101100011010000
32202110022012102220
4333223131203100
54141444422330
6254002341040
735321614614
oct7753354320
92673265386
101068357840
114a9073070
1225995a780
13140452404
14a1c63344
1563bd5710
hex3fadd8d0

1068357840 has 320 divisors, whose sum is σ = 3878323200. Its totient is φ = 241205760.

The previous prime is 1068357817. The next prime is 1068357841. The reversal of 1068357840 is 487538601.

It is a super-2 number, since 2×10683578402 = 2282776948578931200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1068357792 and 1068357801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068357841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18107731 + ... + 18107789.

It is an arithmetic number, because the mean of its divisors is an integer number (12119760).

Almost surely, 21068357840 is an apocalyptic number.

1068357840 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 1068357840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1939161600).

1068357840 is an abundant number, since it is smaller than the sum of its proper divisors (2809965360).

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

1068357840 is a wasteful number, since it uses less digits than its factorization.

1068357840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1068357840 is about 32685.7436813055. The cubic root of 1068357840 is about 1022.2856089308.

The spelling of 1068357840 in words is "one billion, sixty-eight million, three hundred fifty-seven thousand, eight hundred forty".