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2140124 = 227261179
BaseRepresentation
bin1000001010011111011100
311000201200212
420022133130
51021440444
6113511552
724122300
oct10123734
94021625
102140124
1112319a8
128725b8
1359c15c
143d9d00
152c419e
hex20a7dc

2140124 has 36 divisors (see below), whose sum is σ = 4452840. Its totient is φ = 897120.

The previous prime is 2140121. The next prime is 2140129. The reversal of 2140124 is 4210412.

2140124 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 2140099 and 2140108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140121) 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 11 ways as a sum of consecutive naturals, for example, 11867 + ... + 12045.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

22140124 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 2140124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226420).

2140124 is an abundant number, since it is smaller than the sum of its proper divisors (2312716).

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

2140124 is a wasteful number, since it uses less digits than its factorization.

2140124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2140124 is about 1462.9162655463. The cubic root of 2140124 is about 128.8683632043.

Adding to 2140124 its reverse (4210412), we get a palindrome (6350536).

The spelling of 2140124 in words is "two million, one hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 61 98 122 179 196 244 358 427 716 854 1253 1708 2506 2989 5012 5978 8771 10919 11956 17542 21838 35084 43676 76433 152866 305732 535031 1070062 2140124