Search a number
-
+
2110420 = 225138117
BaseRepresentation
bin1000000011001111010100
310222012221201
420003033110
51020013140
6113122244
723636554
oct10031724
93865851
102110420
111211654
12859384
1358b790
143cd164
152ba49a
hex2033d4

2110420 has 24 divisors (see below), whose sum is σ = 4773384. Its totient is φ = 779136.

The previous prime is 2110399. The next prime is 2110439. The reversal of 2110420 is 240112.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 1844164 = 516^2 + 1358^2 .

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 = 2110397 and 2110406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3799 + ... + 4318.

It is an arithmetic number, because the mean of its divisors is an integer number (198891).

22110420 is an apocalyptic number.

2110420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110420 is an abundant number, since it is smaller than the sum of its proper divisors (2662964).

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

2110420 is a wasteful number, since it uses less digits than its factorization.

2110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8139 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2110420 is about 1452.7284674019. The cubic root of 2110420 is about 128.2693708732.

Adding to 2110420 its reverse (240112), we get a palindrome (2350532).

The spelling of 2110420 in words is "two million, one hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8117 16234 32468 40585 81170 105521 162340 211042 422084 527605 1055210 2110420