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2144016 = 24337709
BaseRepresentation
bin1000001011011100010000
311000221001000
420023130100
51022102031
6113542000
724136530
oct10133420
94027030
102144016
111234916
12874900
135a0b64
143db4c0
152c53e6
hex20b710

2144016 has 80 divisors (see below), whose sum is σ = 7043200. Its totient is φ = 611712.

The previous prime is 2144011. The next prime is 2144029. The reversal of 2144016 is 6104412.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2144016.

It is not an unprimeable number, because it can be changed into a prime (2144011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2670 + ... + 3378.

It is an arithmetic number, because the mean of its divisors is an integer number (88040).

22144016 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 2144016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521600).

2144016 is an abundant number, since it is smaller than the sum of its proper divisors (4899184).

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

2144016 is a wasteful number, since it uses less digits than its factorization.

2144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2144016 is about 1464.2458809913. The cubic root of 2144016 is about 128.9464353060.

Adding to 2144016 its reverse (6104412), we get a palindrome (8248428).

The spelling of 2144016 in words is "two million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 709 756 1008 1418 1512 2127 2836 3024 4254 4963 5672 6381 8508 9926 11344 12762 14889 17016 19143 19852 25524 29778 34032 38286 39704 44667 51048 59556 76572 79408 89334 102096 119112 134001 153144 178668 238224 268002 306288 357336 536004 714672 1072008 2144016