Search a number
-
+
2113146 = 232731541
BaseRepresentation
bin1000000011111001111010
310222100200200
420003321322
51020110041
6113143030
723650530
oct10037172
93870620
102113146
111213702
1285aa76
1358caa9
143d0150
152bb1b6
hex203e7a

2113146 has 48 divisors (see below), whose sum is σ = 5411328. Its totient is φ = 583200.

The previous prime is 2113129. The next prime is 2113147. The reversal of 2113146 is 6413112.

It is a happy number.

2113146 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 (18).

It is not an unprimeable number, because it can be changed into a prime (2113147) 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 23 ways as a sum of consecutive naturals, for example, 3636 + ... + 4176.

It is an arithmetic number, because the mean of its divisors is an integer number (112736).

22113146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705664).

2113146 is an abundant number, since it is smaller than the sum of its proper divisors (3298182).

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

2113146 is a wasteful number, since it uses less digits than its factorization.

2113146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 584 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2113146 is about 1453.6663991439. Note that the first 3 decimals coincide. The cubic root of 2113146 is about 128.3245750287.

Adding to 2113146 its reverse (6413112), we get a palindrome (8526258).

The spelling of 2113146 in words is "two million, one hundred thirteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 541 558 651 1082 1302 1623 1953 3246 3787 3906 4869 7574 9738 11361 16771 22722 33542 34083 50313 68166 100626 117397 150939 234794 301878 352191 704382 1056573 2113146