Search a number
-
+
4120160 = 255112341
BaseRepresentation
bin1111101101111001100000
321202022210112
433231321200
52023321120
6224150452
750010062
oct17557140
97668715
104120160
1123645a0
121468428
13b13485
14793732
15565bc5
hex3ede60

4120160 has 48 divisors (see below), whose sum is σ = 10623312. Its totient is φ = 1497600.

The previous prime is 4120159. The next prime is 4120163. The reversal of 4120160 is 610214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120163) 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 7 ways as a sum of consecutive naturals, for example, 590 + ... + 2930.

It is an arithmetic number, because the mean of its divisors is an integer number (221319).

Almost surely, 24120160 is an apocalyptic number.

4120160 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 4120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311656).

4120160 is an abundant number, since it is smaller than the sum of its proper divisors (6503152).

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

4120160 is a wasteful number, since it uses less digits than its factorization.

4120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4120160 is about 2029.8177258069. The cubic root of 4120160 is about 160.3139668355.

Adding to 4120160 its reverse (610214), we get a palindrome (4730374).

The spelling of 4120160 in words is "four million, one hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2341 4682 9364 11705 18728 23410 25751 37456 46820 51502 74912 93640 103004 128755 187280 206008 257510 374560 412016 515020 824032 1030040 2060080 4120160