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4195120 = 245411279
BaseRepresentation
bin10000000000001100110000
321220010121211
4100000030300
52033220440
6225525504
750441446
oct20001460
97803554
104195120
112405946
1214a3894
13b3b627
147b2b96
1557ceea
hex400330

4195120 has 40 divisors (see below), whose sum is σ = 9999360. Its totient is φ = 1635840.

The previous prime is 4195117. The next prime is 4195127. The reversal of 4195120 is 215914.

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

It is a junction number, because it is equal to n+sod(n) for n = 4195091 and 4195100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4195127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2641 + ... + 3919.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 24195120 is an apocalyptic number.

4195120 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 4195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999680).

4195120 is an abundant number, since it is smaller than the sum of its proper divisors (5804240).

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

4195120 is a wasteful number, since it uses less digits than its factorization.

4195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 4195120 is about 2048.1992090615. The cubic root of 4195120 is about 161.2803520374.

The spelling of 4195120 in words is "four million, one hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1279 1640 2558 3280 5116 6395 10232 12790 20464 25580 51160 52439 102320 104878 209756 262195 419512 524390 839024 1048780 2097560 4195120