Search a number
-
+
2071000 = 235319109
BaseRepresentation
bin111111001100111011000
310220012212201
413321213120
51012233000
6112215544
723413621
oct7714730
93805781
102071000
111194a78
1283a5b4
13576859
143bca48
152ad96a
hex1f99d8

2071000 has 64 divisors (see below), whose sum is σ = 5148000. Its totient is φ = 777600.

The previous prime is 2070997. The next prime is 2071007. The reversal of 2071000 is 1702.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2071007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18946 + ... + 19054.

22071000 is an apocalyptic number.

2071000 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 2071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574000).

2071000 is an abundant number, since it is smaller than the sum of its proper divisors (3077000).

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

2071000 is a wasteful number, since it uses less digits than its factorization.

2071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 2071000 is about 1439.0969390559. The cubic root of 2071000 is about 127.4657090918.

Adding to 2071000 its reverse (1702), we get a palindrome (2072702).

The spelling of 2071000 in words is "two million, seventy-one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 125 152 190 200 218 250 380 436 475 500 545 760 872 950 1000 1090 1900 2071 2180 2375 2725 3800 4142 4360 4750 5450 8284 9500 10355 10900 13625 16568 19000 20710 21800 27250 41420 51775 54500 82840 103550 109000 207100 258875 414200 517750 1035500 2071000