Search a number
-
+
2127444 = 2231171227
BaseRepresentation
bin1000000111011001010100
311000002022020
420013121110
51021034234
6113333140
724040314
oct10073124
94002266
102127444
111223420
128671b0
13596457
143d5444
152c0549
hex207654

2127444 has 48 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 632800.

The previous prime is 2127443. The next prime is 2127467. The reversal of 2127444 is 4447212.

2127444 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127443) 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, 9259 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

22127444 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 2127444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

2127444 is an abundant number, since it is smaller than the sum of its proper divisors (3388332).

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

2127444 is a wasteful number, since it uses less digits than its factorization.

2127444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 314 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2127444 is about 1458.5760179024. The cubic root of 2127444 is about 128.6133485882.

The spelling of 2127444 in words is "two million, one hundred twenty-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 227 284 426 454 681 781 852 908 1362 1562 2343 2497 2724 3124 4686 4994 7491 9372 9988 14982 16117 29964 32234 48351 64468 96702 177287 193404 354574 531861 709148 1063722 2127444