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2144240 = 24572547
BaseRepresentation
bin1000001011011111110000
311000221100022
420023133300
51022103430
6113543012
724140300
oct10133760
94027308
102144240
111234aaa
12874a68
135a0ca7
143db600
152c54e5
hex20b7f0

2144240 has 60 divisors (see below), whose sum is σ = 5809896. Its totient is φ = 733824.

The previous prime is 2144213. The next prime is 2144243. The reversal of 2144240 is 424412.

2144240 = T271 + T272 + ... + T319.

2144240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 11.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144243) 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, 3647 + ... + 4193.

22144240 is an apocalyptic number.

2144240 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 2144240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904948).

2144240 is an abundant number, since it is smaller than the sum of its proper divisors (3665656).

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

2144240 is a wasteful number, since it uses less digits than its factorization.

2144240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 2144240 is about 1464.3223688792. The cubic root of 2144240 is about 128.9509257880.

Adding to 2144240 its reverse (424412), we get a palindrome (2568652).

The spelling of 2144240 in words is "two million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 547 560 784 980 1094 1960 2188 2735 3829 3920 4376 5470 7658 8752 10940 15316 19145 21880 26803 30632 38290 43760 53606 61264 76580 107212 134015 153160 214424 268030 306320 428848 536060 1072120 2144240