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1068373800 = 233552131989
BaseRepresentation
bin111111101011100…
…001011100101000
32202110100000100000
4333223201130220
54142000430200
6254002543000
735322012264
oct7753413450
92673300300
101068373800
114a908405a
12259967a60
13140459760
14a1c690a4
1563bda300
hex3fae1728

1068373800 has 576 divisors, whose sum is σ = 4265352000. Its totient is φ = 246343680.

The previous prime is 1068373763. The next prime is 1068373837. The reversal of 1068373800 is 83738601.

It is an interprime number because it is at equal distance from previous prime (1068373763) and next prime (1068373837).

It is a super-2 number, since 2×10683738002 = 2282845153052880000, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12004156 + ... + 12004244.

It is an arithmetic number, because the mean of its divisors is an integer number (7405125).

Almost surely, 21068373800 is an apocalyptic number.

1068373800 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 1068373800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132676000).

1068373800 is an abundant number, since it is smaller than the sum of its proper divisors (3196978200).

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

1068373800 is a wasteful number, since it uses less digits than its factorization.

1068373800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1068373800 is about 32685.9878235307. The cubic root of 1068373800 is about 1022.2906994840.

The spelling of 1068373800 in words is "one billion, sixty-eight million, three hundred seventy-three thousand, eight hundred".