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1214144 = 2661311
BaseRepresentation
bin100101000011011000000
32021200111022
410220123000
5302323034
642005012
713214531
oct4503300
92250438
101214144
1175a228
124a6768
13336839
14238688
1518eb2e
hex1286c0

1214144 has 28 divisors (see below), whose sum is σ = 2456688. Its totient is φ = 595200.

The previous prime is 1214141. The next prime is 1214159. The reversal of 1214144 is 4414121.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1214141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3749 + ... + 4059.

21214144 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 1214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228344).

1214144 is an abundant number, since it is smaller than the sum of its proper divisors (1242544).

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

1214144 is an equidigital number, since it uses as much as digits as its factorization.

1214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 1214144 is about 1101.8820263531. The cubic root of 1214144 is about 106.6817339827.

Adding to 1214144 its reverse (4414121), we get a palindrome (5628265).

The spelling of 1214144 in words is "one million, two hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 244 311 488 622 976 1244 1952 2488 3904 4976 9952 18971 19904 37942 75884 151768 303536 607072 1214144