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2421820 = 225172419
BaseRepresentation
bin1001001111010000111100
311120001010001
421033100330
51104444240
6123524044
726404462
oct11172074
94501101
102421820
111404605
12989624
1366a43b
14470832
1532c89a
hex24f43c

2421820 has 36 divisors (see below), whose sum is σ = 5415480. Its totient is φ = 909568.

The previous prime is 2421817. The next prime is 2421821. The reversal of 2421820 is 281242.

2421820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24218202 = 11730424224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5571 + ... + 5989.

It is an arithmetic number, because the mean of its divisors is an integer number (150430).

22421820 is an apocalyptic number.

2421820 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 2421820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707740).

2421820 is an abundant number, since it is smaller than the sum of its proper divisors (2993660).

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

2421820 is a wasteful number, since it uses less digits than its factorization.

2421820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 2421820 is about 1556.2197788230. The cubic root of 2421820 is about 134.2911172889.

The spelling of 2421820 in words is "two million, four hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 419 578 838 1156 1445 1676 2095 2890 4190 5780 7123 8380 14246 28492 35615 71230 121091 142460 242182 484364 605455 1210910 2421820