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4065041000 = 23535968899
BaseRepresentation
bin1111001001001011…
…1001101001101000
3101111022002110221002
43302102321221220
531311122303000
61511211534132
7202510164326
oct36222715150
911438073832
104065041000
1117a6678519
1295545a348
134ca245007
142a7c44d16
1518bd218d5
hexf24b9a68

4065041000 has 64 divisors (see below), whose sum is σ = 9673560000. Its totient is φ = 1598433600.

The previous prime is 4065040963. The next prime is 4065041009. The reversal of 4065041000 is 1405604.

It is a happy number.

4065041000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4065041009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24551 + ... + 93449.

It is an arithmetic number, because the mean of its divisors is an integer number (151149375).

Almost surely, 24065041000 is an apocalyptic number.

4065041000 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 4065041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836780000).

4065041000 is an abundant number, since it is smaller than the sum of its proper divisors (5608519000).

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

4065041000 is a wasteful number, since it uses less digits than its factorization.

4065041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68979 (or 68965 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4065041000 is about 63757.6740479136. The cubic root of 4065041000 is about 1595.9586811413.

Adding to 4065041000 its reverse (1405604), we get a palindrome (4066446604).

The spelling of 4065041000 in words is "four billion, sixty-five million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 59000 68899 137798 275596 344495 551192 688990 1377980 1722475 2755960 3444950 4065041 6889900 8130082 8612375 13779800 16260164 17224750 20325205 32520328 34449500 40650410 68899000 81300820 101626025 162601640 203252050 406504100 508130125 813008200 1016260250 2032520500 4065041000