Search a number
-
+
4099119360 = 28357732089
BaseRepresentation
bin1111010001010011…
…1001100100000000
3101120200012211122120
43310110321210000
531343333304420
61514430204240
7203402640210
oct36424714400
911520184576
104099119360
111813934056
12964953680
1350431741b
142ac596240
1518ed03d40
hexf4539900

4099119360 has 288 divisors, whose sum is σ = 15174001920. Its totient is φ = 923664384.

The previous prime is 4099119359. The next prime is 4099119377. The reversal of 4099119360 is 639119904.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961196 + ... + 1963284.

Almost surely, 24099119360 is an apocalyptic number.

4099119360 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 4099119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587000960).

4099119360 is an abundant number, since it is smaller than the sum of its proper divisors (11074882560).

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

4099119360 is a wasteful number, since it uses less digits than its factorization.

4099119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 4099119360 is about 64024.3653619464. The cubic root of 4099119360 is about 1600.4060636032.

The spelling of 4099119360 in words is "four billion, ninety-nine million, one hundred nineteen thousand, three hundred sixty".