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2124312 = 23388513
BaseRepresentation
bin1000000110101000011000
310222221000020
420012220120
51020434222
6113310440
724025221
oct10065030
93887006
102124312
111221033
12865420
13594bb8
143d4248
152be65c
hex206a18

2124312 has 16 divisors (see below), whose sum is σ = 5310840. Its totient is φ = 708096.

The previous prime is 2124299. The next prime is 2124319. The reversal of 2124312 is 2134212.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2124291 and 2124300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124319) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 44233 + ... + 44280.

22124312 is an apocalyptic number.

It is an amenable number.

2124312 is an abundant number, since it is smaller than the sum of its proper divisors (3186528).

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

2124312 is a wasteful number, since it uses less digits than its factorization.

2124312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88522 (or 88518 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2124312 is about 1457.5019725544. The cubic root of 2124312 is about 128.5502031981.

Adding to 2124312 its reverse (2134212), we get a palindrome (4258524).

The spelling of 2124312 in words is "two million, one hundred twenty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 88513 177026 265539 354052 531078 708104 1062156 2124312