Search a number
-
+
2149626 = 232337421
BaseRepresentation
bin1000001100110011111010
311001012201210
420030303322
51022242001
6114023550
724162063
oct10146372
94035653
102149626
111239056
12877bb6
135a358b
143dd56a
152c6dd6
hex20ccfa

2149626 has 32 divisors (see below), whose sum is σ = 4618368. Its totient is φ = 665280.

The previous prime is 2149621. The next prime is 2149661. The reversal of 2149626 is 6269412.

2149626 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 215 + 1 + 47 + 93 + 64 + 221 + 64 .

It is a junction number, because it is equal to n+sod(n) for n = 2149593 and 2149602.

It is not an unprimeable number, because it can be changed into a prime (2149621) 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, 4896 + ... + 5316.

It is an arithmetic number, because the mean of its divisors is an integer number (144324).

22149626 is an apocalyptic number.

2149626 is an abundant number, since it is smaller than the sum of its proper divisors (2468742).

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

2149626 is a wasteful number, since it uses less digits than its factorization.

2149626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486.

The product of its digits is 5184, while the sum is 30.

The square root of 2149626 is about 1466.1602913734. The cubic root of 2149626 is about 129.0588037897.

It can be divided in two parts, 2149 and 626, that added together give a triangular number (2775 = T74).

The spelling of 2149626 in words is "two million, one hundred forty-nine thousand, six hundred twenty-six".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 222 421 842 851 1263 1702 2526 2553 5106 9683 15577 19366 29049 31154 46731 58098 93462 358271 716542 1074813 2149626