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2144142 = 23272111317
BaseRepresentation
bin1000001011011110001110
311000221012200
420023132032
51022103032
6113542330
724140100
oct10133616
94027180
102144142
111234a20
128749a6
135a0c30
143db570
152c547c
hex20b78e

2144142 has 144 divisors (see below), whose sum is σ = 6722352. Its totient is φ = 483840.

The previous prime is 2144137. The next prime is 2144143. The reversal of 2144142 is 2414412.

2144142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144143) 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 71 ways as a sum of consecutive naturals, for example, 126118 + ... + 126134.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

22144142 is an apocalyptic number.

2144142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361176).

2144142 is an abundant number, since it is smaller than the sum of its proper divisors (4578210).

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

2144142 is a wasteful number, since it uses less digits than its factorization.

2144142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2144142 is about 1464.2889059199. The cubic root of 2144142 is about 128.9489612406.

Adding to 2144142 its reverse (2414412), we get a palindrome (4558554).

It can be divided in two parts, 214 and 4142, that added together give a square (4356 = 662).

The spelling of 2144142 in words is "two million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 17 18 21 22 26 33 34 39 42 49 51 63 66 77 78 91 98 99 102 117 119 126 143 147 153 154 182 187 198 221 231 234 238 273 286 294 306 357 374 429 441 442 462 539 546 561 637 663 693 714 819 833 858 882 1001 1071 1078 1122 1274 1287 1309 1326 1386 1547 1617 1638 1666 1683 1911 1989 2002 2142 2431 2499 2574 2618 3003 3094 3234 3366 3822 3927 3978 4641 4851 4862 4998 5733 6006 7007 7293 7497 7854 9009 9163 9282 9702 10829 11466 11781 13923 14014 14586 14994 17017 18018 18326 21021 21658 21879 23562 27489 27846 32487 34034 42042 43758 51051 54978 63063 64974 82467 97461 102102 119119 126126 153153 164934 194922 238238 306306 357357 714714 1072071 2144142