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4068060000 = 2535467801
BaseRepresentation
bin1111001001111001…
…1010101101100000
3101111111202212012220
43302132122231200
531312410410000
61511400351040
7202544640144
oct36236325540
911444685186
104068060000
1117a834a764
12956475480
134caa611c4
142a83cd224
1518c21b1a0
hexf279ab60

4068060000 has 120 divisors (see below), whose sum is σ = 13344247224. Its totient is φ = 1084800000.

The previous prime is 4068059917. The next prime is 4068060001. The reversal of 4068060000 is 608604.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×40680600002 = 33098224327200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4068060001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 26100 + ... + 93900.

Almost surely, 24068060000 is an apocalyptic number.

4068060000 is a gapful number since it is divisible by the number (40) 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 4068060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6672123612).

4068060000 is an abundant number, since it is smaller than the sum of its proper divisors (9276187224).

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

4068060000 is an equidigital number, since it uses as much as digits as its factorization.

4068060000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67834 (or 67811 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4068060000 is about 63781.3452351077. The cubic root of 4068060000 is about 1596.3536756786.

Adding to 4068060000 its reverse (608604), we get a palindrome (4068668604).

The spelling of 4068060000 in words is "four billion, sixty-eight million, sixty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 67801 135602 203403 271204 339005 406806 542408 678010 813612 1017015 1084816 1356020 1627224 1695025 2034030 2169632 2712040 3254448 3390050 4068060 5085075 5424080 6508896 6780100 8136120 8475125 10170150 10848160 13560200 16272240 16950250 20340300 25425375 27120400 32544480 33900500 40680600 42375625 50850750 54240800 67801000 81361200 84751250 101701500 127126875 135602000 162722400 169502500 203403000 254253750 271204000 339005000 406806000 508507500 678010000 813612000 1017015000 1356020000 2034030000 4068060000