Search a number
-
+
3985900 = 2252231733
BaseRepresentation
bin1111001101000111101100
321111111121221
433031013230
52010022100
6221233124
745610462
oct17150754
97444557
103985900
112282736
1214027a4
13a97329
1475a832
1553b01a
hex3cd1ec

3985900 has 36 divisors (see below), whose sum is σ = 9030672. Its totient is φ = 1524160.

The previous prime is 3985889. The next prime is 3985903. The reversal of 3985900 is 95893.

It is not an unprimeable number, because it can be changed into a prime (3985903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1434 + ... + 3166.

It is an arithmetic number, because the mean of its divisors is an integer number (250852).

Almost surely, 23985900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3985900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515336).

3985900 is an abundant number, since it is smaller than the sum of its proper divisors (5044772).

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

3985900 is a wasteful number, since it uses less digits than its factorization.

3985900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 3985900 is about 1996.4718881066. The cubic root of 3985900 is about 158.5533659825.

The spelling of 3985900 in words is "three million, nine hundred eighty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1733 2300 3466 6932 8665 17330 34660 39859 43325 79718 86650 159436 173300 199295 398590 797180 996475 1992950 3985900