Search a number
-
+
2189736 = 2332171789
BaseRepresentation
bin1000010110100110101000
311010020202100
420112212220
51030032421
6114533400
724420033
oct10264650
94106670
102189736
1112661aa
12897260
135b8903
1441001a
152d3c26
hex2169a8

2189736 has 48 divisors (see below), whose sum is σ = 6282900. Its totient is φ = 686592.

The previous prime is 2189729. The next prime is 2189741. The reversal of 2189736 is 6379812.

It can be written as a sum of positive squares in 2 ways, for example, as 1822500 + 367236 = 1350^2 + 606^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2189736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 2118.

22189736 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 2189736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3141450).

2189736 is an abundant number, since it is smaller than the sum of its proper divisors (4093164).

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

2189736 is a wasteful number, since it uses less digits than its factorization.

2189736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2189736 is about 1479.7756586726. The cubic root of 2189736 is about 129.8565676438.

The spelling of 2189736 in words is "two million, one hundred eighty-nine thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1789 3578 5367 7156 10734 14312 16101 21468 30413 32202 42936 60826 64404 91239 121652 128808 182478 243304 273717 364956 547434 729912 1094868 2189736