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2124306 = 2363147
BaseRepresentation
bin1000000110101000010010
310222221000000
420012220102
51020434211
6113310430
724025212
oct10065022
93887000
102124306
111221028
12865416
13594bb2
143d4242
152be656
hex206a12

2124306 has 56 divisors (see below), whose sum is σ = 5036544. Its totient is φ = 670680.

The previous prime is 2124299. The next prime is 2124319. The reversal of 2124306 is 6034212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45175 + ... + 45221.

22124306 is an apocalyptic number.

It is a pronic number, being equal to 1457×1458.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518272).

2124306 is an abundant number, since it is smaller than the sum of its proper divisors (2912238).

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

2124306 is an equidigital number, since it uses as much as digits as its factorization.

2124306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2124306 is about 1457.4999142367. The cubic root of 2124306 is about 128.5500821704.

Adding to 2124306 its reverse (6034212), we get a palindrome (8158518).

The spelling of 2124306 in words is "two million, one hundred twenty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 31 47 54 62 81 93 94 141 162 186 243 279 282 423 486 558 729 837 846 1269 1457 1458 1674 2511 2538 2914 3807 4371 5022 7533 7614 8742 11421 13113 15066 22599 22842 26226 34263 39339 45198 68526 78678 118017 236034 354051 708102 1062153 2124306