Search a number
-
+
4113960 = 233534283
BaseRepresentation
bin1111101100011000101000
321202000021220
433230120220
52023121320
6224102040
746653024
oct17543050
97660256
104113960
11235a974
121464920
13b106c6
14791384
15563e40
hex3ec628

4113960 has 32 divisors (see below), whose sum is σ = 12342240. Its totient is φ = 1097024.

The previous prime is 4113959. The next prime is 4113997. The reversal of 4113960 is 693114.

4113960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4113960.

It is an unprimeable number.

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, 17022 + ... + 17261.

It is an arithmetic number, because the mean of its divisors is an integer number (385695).

Almost surely, 24113960 is an apocalyptic number.

4113960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4113960 is an abundant number, since it is smaller than the sum of its proper divisors (8228280).

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

4113960 is a wasteful number, since it uses less digits than its factorization.

4113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34297 (or 34293 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 4113960 is about 2028.2899201051. The cubic root of 4113960 is about 160.2335131983.

It can be divided in two parts, 411 and 3960, that added together give a triangular number (4371 = T93).

The spelling of 4113960 in words is "four million, one hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 34283 68566 102849 137132 171415 205698 274264 342830 411396 514245 685660 822792 1028490 1371320 2056980 4113960