Search a number
-
+
4137102 = 233233331
BaseRepresentation
bin1111110010000010001110
321210012001000
433302002032
52024341402
6224401130
750110344
oct17620216
97705030
104137102
1123762a2
1214761a6
13b1b0b8
14799994
1556ac1c
hex3f208e

4137102 has 32 divisors (see below), whose sum is σ = 9596160. Its totient is φ = 1318680.

The previous prime is 4137101. The next prime is 4137113. The reversal of 4137102 is 2017314.

4137102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41371022 = 34231225916808, which contains 22 as substring.

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 (4137101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 424 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (299880).

Almost surely, 24137102 is an apocalyptic number.

4137102 is an abundant number, since it is smaller than the sum of its proper divisors (5459058).

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

4137102 is a wasteful number, since it uses less digits than its factorization.

4137102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3365 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4137102 is about 2033.9867256204. The cubic root of 4137102 is about 160.5334020795.

The spelling of 4137102 in words is "four million, one hundred thirty-seven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 3331 6662 9993 19986 29979 59958 76613 89937 153226 179874 229839 459678 689517 1379034 2068551 4137102