Search a number
-
+
2021320 = 23577219
BaseRepresentation
bin111101101011111001000
310210200201201
413231133020
51004140240
6111153544
723116030
oct7553710
93720651
102021320
111160714
128158b4
1355a062
143a88c0
1529dd9a
hex1ed7c8

2021320 has 32 divisors (see below), whose sum is σ = 5198400. Its totient is φ = 692928.

The previous prime is 2021291. The next prime is 2021321. The reversal of 2021320 is 231202.

2021320 is nontrivially palindromic in base 3.

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

It is a junction number, because it is equal to n+sod(n) for n = 2021297 and 2021306.

It is not an unprimeable number, because it can be changed into a prime (2021321) 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 7 ways as a sum of consecutive naturals, for example, 3330 + ... + 3889.

It is an arithmetic number, because the mean of its divisors is an integer number (162450).

22021320 is an apocalyptic number.

2021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021320 is an abundant number, since it is smaller than the sum of its proper divisors (3177080).

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

2021320 is a wasteful number, since it uses less digits than its factorization.

2021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2021320 is about 1421.7313388963. The cubic root of 2021320 is about 126.4382154918.

Adding to 2021320 its reverse (231202), we get a palindrome (2252522).

The spelling of 2021320 in words is "two million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 7219 14438 28876 36095 50533 57752 72190 101066 144380 202132 252665 288760 404264 505330 1010660 2021320