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2120424 = 233531667
BaseRepresentation
bin1000000101101011101000
310222201200020
420011223220
51020323144
6113240440
724010665
oct10055350
93881606
102120424
111219119
12863120
135931b7
143d2a6c
152bd419
hex205ae8

2120424 has 32 divisors (see below), whose sum is σ = 5404320. Its totient is φ = 693056.

The previous prime is 2120423. The next prime is 2120429. The reversal of 2120424 is 4240212.

2120424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2120423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (168885).

22120424 is an apocalyptic number.

2120424 is a gapful number since it is divisible by the number (24) 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 2120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702160).

2120424 is an abundant number, since it is smaller than the sum of its proper divisors (3283896).

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

2120424 is a wasteful number, since it uses less digits than its factorization.

2120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2120424 is about 1456.1675727745. The cubic root of 2120424 is about 128.4717294114.

Adding to 2120424 its reverse (4240212), we get a palindrome (6360636).

The spelling of 2120424 in words is "two million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1667 3334 5001 6668 10002 13336 20004 40008 88351 176702 265053 353404 530106 706808 1060212 2120424