Search a number
-
+
4129120 = 255131197
BaseRepresentation
bin1111110000000101100000
321202210002101
433300011200
52024112440
6224300144
750045152
oct17600540
97683071
104129120
1123702a6
121471654
13b17588
14796ad2
1556869a
hex3f0160

4129120 has 48 divisors (see below), whose sum is σ = 9879408. Its totient is φ = 1630720.

The previous prime is 4129109. The next prime is 4129129. The reversal of 4129120 is 219214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20862 + ... + 21058.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 24129120 is an apocalyptic number.

4129120 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 4129120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939704).

4129120 is an abundant number, since it is smaller than the sum of its proper divisors (5750288).

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

4129120 is a wasteful number, since it uses less digits than its factorization.

4129120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 4129120 is about 2032.0236219099. The cubic root of 4129120 is about 160.4300928400.

It can be divided in two parts, 41 and 29120, that added together give a triangular number (29161 = T241).

The spelling of 4129120 in words is "four million, one hundred twenty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 131 160 197 262 394 524 655 788 985 1048 1310 1576 1970 2096 2620 3152 3940 4192 5240 6304 7880 10480 15760 20960 25807 31520 51614 103228 129035 206456 258070 412912 516140 825824 1032280 2064560 4129120