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1060068000 = 2535388339
BaseRepresentation
bin111111001011110…
…101101010100000
32201212201000220210
4333023311222200
54132334134000
6253104534120
735161300155
oct7713655240
92655630823
101060068000
114a4420862
12257021340
1313b80c094
14a0b0622c
15630e9350
hex3f2f5aa0

1060068000 has 96 divisors (see below), whose sum is σ = 3472822080. Its totient is φ = 282681600.

The previous prime is 1060067993. The next prime is 1060068017. The reversal of 1060068000 is 8600601.

1060068000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10600680002 = 2247488329248000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 32170 + ... + 56169.

It is an arithmetic number, because the mean of its divisors is an integer number (36175230).

Almost surely, 21060068000 is an apocalyptic number.

1060068000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1060068000 is an abundant number, since it is smaller than the sum of its proper divisors (2412754080).

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

1060068000 is an equidigital number, since it uses as much as digits as its factorization.

1060068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88367 (or 88349 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1060068000 is about 32558.6854771503. The cubic root of 1060068000 is about 1019.6346249975.

Adding to 1060068000 its reverse (8600601), we get a palindrome (1068668601).

The spelling of 1060068000 in words is "one billion, sixty million, sixty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 88339 176678 265017 353356 441695 530034 706712 883390 1060068 1325085 1413424 1766780 2120136 2208475 2650170 2826848 3533560 4240272 4416950 5300340 6625425 7067120 8480544 8833900 10600680 11042375 13250850 14134240 17667800 21201360 22084750 26501700 33127125 35335600 42402720 44169500 53003400 66254250 70671200 88339000 106006800 132508500 176678000 212013600 265017000 353356000 530034000 1060068000