Search a number
-
+
4119136 = 25723771
BaseRepresentation
bin1111101101101001100000
321202021101121
433231221200
52023303021
6224142024
750004100
oct17555140
97667347
104119136
11236384a
121467914
13b12b78
14793200
15565741
hex3eda60

4119136 has 72 divisors (see below), whose sum is σ = 9824976. Its totient is φ = 1693440.

The previous prime is 4119133. The next prime is 4119149. The reversal of 4119136 is 6319114.

It is a self number, because there is not a number n which added to its sum of digits gives 4119136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57981 + ... + 58051.

It is an arithmetic number, because the mean of its divisors is an integer number (136458).

Almost surely, 24119136 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 4119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912488).

4119136 is an abundant number, since it is smaller than the sum of its proper divisors (5705840).

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

4119136 is a wasteful number, since it uses less digits than its factorization.

4119136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 4119136 is about 2029.5654707351. The cubic root of 4119136 is about 160.3006845759.

The spelling of 4119136 in words is "four million, one hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 71 74 98 112 142 148 196 224 259 284 296 392 497 518 568 592 784 994 1036 1136 1184 1568 1813 1988 2072 2272 2627 3479 3626 3976 4144 5254 6958 7252 7952 8288 10508 13916 14504 15904 18389 21016 27832 29008 36778 42032 55664 58016 73556 84064 111328 128723 147112 257446 294224 514892 588448 1029784 2059568 4119136