Search a number
-
+
4027104 = 25335979
BaseRepresentation
bin1111010111001011100000
321120121011000
433113023200
52012331404
6222152000
746141554
oct17271340
97517130
104027104
112300694
121422600
13ab0003
1476b864
15548339
hex3d72e0

4027104 has 96 divisors (see below), whose sum is σ = 12096000. Its totient is φ = 1302912.

The previous prime is 4027103. The next prime is 4027123. The reversal of 4027104 is 4017204.

It is a happy number.

4027104 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4027103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50937 + ... + 51015.

It is an arithmetic number, because the mean of its divisors is an integer number (126000).

Almost surely, 24027104 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 4027104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048000).

4027104 is an abundant number, since it is smaller than the sum of its proper divisors (8068896).

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

4027104 is a wasteful number, since it uses less digits than its factorization.

4027104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4027104 is about 2006.7645601814. The cubic root of 4027104 is about 159.0978393914.

The spelling of 4027104 in words is "four million, twenty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 59 72 79 96 108 118 144 158 177 216 236 237 288 316 354 432 472 474 531 632 708 711 864 944 948 1062 1264 1416 1422 1593 1888 1896 2124 2133 2528 2832 2844 3186 3792 4248 4266 4661 5664 5688 6372 7584 8496 8532 9322 11376 12744 13983 16992 17064 18644 22752 25488 27966 34128 37288 41949 50976 55932 68256 74576 83898 111864 125847 149152 167796 223728 251694 335592 447456 503388 671184 1006776 1342368 2013552 4027104