Search a number
-
+
2002020 = 223561547
BaseRepresentation
bin111101000110001100100
310202201020220
413220301210
51003031040
6110524340
723005536
oct7506144
93681226
102002020
111148169
128066b0
13551337
143a1856
152982d0
hex1e8c64

2002020 has 48 divisors (see below), whose sum is σ = 5707968. Its totient is φ = 524160.

The previous prime is 2002019. The next prime is 2002061. The reversal of 2002020 is 202002.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

2002020 is a modest number, since divided by 2020 gives 200 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3387 + ... + 3933.

It is an arithmetic number, because the mean of its divisors is an integer number (118916).

22002020 is an apocalyptic number.

2002020 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 2002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853984).

2002020 is an abundant number, since it is smaller than the sum of its proper divisors (3705948).

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

2002020 is a wasteful number, since it uses less digits than its factorization.

2002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2002020 is about 1414.9275599832. The cubic root of 2002020 is about 126.0345080590.

Adding to 2002020 its reverse (202002), we get a palindrome (2204022).

The spelling of 2002020 in words is "two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 547 610 732 915 1094 1220 1641 1830 2188 2735 3282 3660 5470 6564 8205 10940 16410 32820 33367 66734 100101 133468 166835 200202 333670 400404 500505 667340 1001010 2002020