Search a number
-
+
2143416 = 2331123353
BaseRepresentation
bin1000001011010010111000
311000220012210
420023102320
51022042131
6113535120
724135012
oct10132270
94026183
102143416
111234420
128744a0
135a07c2
143db1b2
152c5146
hex20b4b8

2143416 has 64 divisors (see below), whose sum is σ = 6117120. Its totient is φ = 619520.

The previous prime is 2143391. The next prime is 2143417. The reversal of 2143416 is 6143412.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2143392 and 2143401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143417) 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, 5896 + ... + 6248.

It is an arithmetic number, because the mean of its divisors is an integer number (95580).

22143416 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 2143416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058560).

2143416 is an abundant number, since it is smaller than the sum of its proper divisors (3973704).

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

2143416 is a wasteful number, since it uses less digits than its factorization.

2143416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2143416 is about 1464.0409830329. The cubic root of 2143416 is about 128.9344056882.

Adding to 2143416 its reverse (6143412), we get a palindrome (8286828).

The spelling of 2143416 in words is "two million, one hundred forty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 353 506 552 706 759 1012 1059 1412 1518 2024 2118 2824 3036 3883 4236 6072 7766 8119 8472 11649 15532 16238 23298 24357 31064 32476 46596 48714 64952 89309 93192 97428 178618 194856 267927 357236 535854 714472 1071708 2143416