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2144628 = 2232411453
BaseRepresentation
bin1000001011100101110100
311000221212200
420023211310
51022112003
6113544500
724141363
oct10134564
94027780
102144628
111235322
12875130
135a1215
143db7da
152c56a3
hex20b974

2144628 has 36 divisors (see below), whose sum is σ = 5557188. Its totient is φ = 696960.

The previous prime is 2144621. The next prime is 2144629. The reversal of 2144628 is 8264412.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1004004 = 1068^2 + 1002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750 + ... + 2202.

22144628 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 2144628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778594).

2144628 is an abundant number, since it is smaller than the sum of its proper divisors (3412560).

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

2144628 is a wasteful number, since it uses less digits than its factorization.

2144628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1499 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 2144628 is about 1464.4548473750. The cubic root of 2144628 is about 128.9587032044.

It can be divided in two parts, 2144 and 628, that added together give a palindrome (2772).

The spelling of 2144628 in words is "two million, one hundred forty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1453 1476 2906 4359 5812 8718 13077 17436 26154 52308 59573 119146 178719 238292 357438 536157 714876 1072314 2144628