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2120382 = 2321110709
BaseRepresentation
bin1000000101101010111110
310222201121200
420011222332
51020323012
6113240330
724010605
oct10055276
93881550
102120382
111219090
128630a6
13593184
143d2a3c
152bd3dc
hex205abe

2120382 has 24 divisors (see below), whose sum is σ = 5012280. Its totient is φ = 642480.

The previous prime is 2120353. The next prime is 2120383. The reversal of 2120382 is 2830212.

It is a happy number.

2120382 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120383) 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, 5157 + ... + 5552.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

22120382 is an apocalyptic number.

2120382 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2120382 is an abundant number, since it is smaller than the sum of its proper divisors (2891898).

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

2120382 is a wasteful number, since it uses less digits than its factorization.

2120382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2120382 is about 1456.1531512859. The cubic root of 2120382 is about 128.4708811772.

Adding to 2120382 its reverse (2830212), we get a palindrome (4950594).

The spelling of 2120382 in words is "two million, one hundred twenty thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10709 21418 32127 64254 96381 117799 192762 235598 353397 706794 1060191 2120382