Search a number
-
+
2018900 = 2252131553
BaseRepresentation
bin111101100111001010100
310210120102002
413230321110
51004101100
6111134432
723106002
oct7547124
93716362
102018900
111159914
12814418
13558c20
143a7a72
1529d2d5
hex1ece54

2018900 has 36 divisors (see below), whose sum is σ = 4721052. Its totient is φ = 744960.

The previous prime is 2018899. The next prime is 2018927. The reversal of 2018900 is 98102.

2018900 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 1435204 = 764^2 + 1198^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 524 + ... + 2076.

22018900 is an apocalyptic number.

2018900 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 2018900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360526).

2018900 is an abundant number, since it is smaller than the sum of its proper divisors (2702152).

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

2018900 is a wasteful number, since it uses less digits than its factorization.

2018900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 2018900 is about 1420.8800090085. The cubic root of 2018900 is about 126.3877364858.

The spelling of 2018900 in words is "two million, eighteen thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1553 3106 6212 7765 15530 20189 31060 38825 40378 77650 80756 100945 155300 201890 403780 504725 1009450 2018900