Search a number
-
+
6195920 = 245411889
BaseRepresentation
bin10111101000101011010000
3102122210012112
4113220223100
53041232140
6340444452
7103443623
oct27505320
912583175
106195920
1135520a5
1220a9728
13138c233
14b73dba
15825c65
hex5e8ad0

6195920 has 40 divisors (see below), whose sum is σ = 14764680. Its totient is φ = 2416640.

The previous prime is 6195911. The next prime is 6195923. The reversal of 6195920 is 295916.

6195920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5776 + 6190144 = 76^2 + 2488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6195923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2336 + ... + 4224.

It is an arithmetic number, because the mean of its divisors is an integer number (369117).

Almost surely, 26195920 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 6195920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382340).

6195920 is an abundant number, since it is smaller than the sum of its proper divisors (8568760).

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

6195920 is a wasteful number, since it uses less digits than its factorization.

6195920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 32.

The square root of 6195920 is about 2489.1605010525. The cubic root of 6195920 is about 183.6687486886.

The spelling of 6195920 in words is "six million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 1889 3280 3778 7556 9445 15112 18890 30224 37780 75560 77449 151120 154898 309796 387245 619592 774490 1239184 1548980 3097960 6195920