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2144460 = 2235103347
BaseRepresentation
bin1000001011100011001100
311000221122110
420023203030
51022110320
6113544020
724141033
oct10134314
94027573
102144460
11123518a
12875010
135a1116
143db71a
152c55e0
hex20b8cc

2144460 has 48 divisors (see below), whose sum is σ = 6080256. Its totient is φ = 564672.

The previous prime is 2144459. The next prime is 2144477. The reversal of 2144460 is 644412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6007 + ... + 6353.

It is an arithmetic number, because the mean of its divisors is an integer number (126672).

22144460 is an apocalyptic number.

2144460 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 2144460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040128).

2144460 is an abundant number, since it is smaller than the sum of its proper divisors (3935796).

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

2144460 is a wasteful number, since it uses less digits than its factorization.

2144460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2144460 is about 1464.3974870232. The cubic root of 2144460 is about 128.9553357784.

Adding to 2144460 its reverse (644412), we get a palindrome (2788872).

The spelling of 2144460 in words is "two million, one hundred forty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 347 412 515 618 694 1030 1041 1236 1388 1545 1735 2060 2082 3090 3470 4164 5205 6180 6940 10410 20820 35741 71482 107223 142964 178705 214446 357410 428892 536115 714820 1072230 2144460