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2144120 = 235112443
BaseRepresentation
bin1000001011011101111000
311000221011212
420023131320
51022102440
6113542252
724140036
oct10133570
94027155
102144120
111234a00
12874988
135a0c14
143db556
152c5465
hex20b778

2144120 has 48 divisors (see below), whose sum is σ = 5314680. Its totient is φ = 777920.

The previous prime is 2144117. The next prime is 2144123. The reversal of 2144120 is 214412.

2144120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2144117) and next prime (2144123).

It is a junction number, because it is equal to n+sod(n) for n = 2144095 and 2144104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144123) 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, 4619 + ... + 5061.

22144120 is an apocalyptic number.

2144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657340).

2144120 is an abundant number, since it is smaller than the sum of its proper divisors (3170560).

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

2144120 is a wasteful number, since it uses less digits than its factorization.

2144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 461 counting only the distinct ones).

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

The square root of 2144120 is about 1464.2813937218. The cubic root of 2144120 is about 128.9485202115.

Adding to 2144120 its reverse (214412), we get a palindrome (2358532).

It can be divided in two parts, 214 and 4120, that added together give a palindrome (4334).

The spelling of 2144120 in words is "two million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 443 484 605 886 968 1210 1772 2215 2420 3544 4430 4840 4873 8860 9746 17720 19492 24365 38984 48730 53603 97460 107206 194920 214412 268015 428824 536030 1072060 2144120