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2124297 = 32724817
BaseRepresentation
bin1000000110101000001001
310222220222200
420012220021
51020434142
6113310413
724025200
oct10065011
93886880
102124297
11122101a
12865409
13594ba6
143d4237
152be64c
hex206a09

2124297 has 18 divisors (see below), whose sum is σ = 3570138. Its totient is φ = 1213632.

The previous prime is 2124289. The next prime is 2124299. The reversal of 2124297 is 7924212.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 741321 = 1176^2 + 861^2 .

It is not a de Polignac number, because 2124297 - 23 = 2124289 is a prime.

It is a d-powerful number, because it can be written as 211 + 1 + 213 + 42 + 221 + 92 + 75 .

It is a self number, because there is not a number n which added to its sum of digits gives 2124297.

It is not an unprimeable number, because it can be changed into a prime (2124299) 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 17 ways as a sum of consecutive naturals, for example, 1968 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (198341).

22124297 is an apocalyptic number.

It is an amenable number.

2124297 is a deficient number, since it is larger than the sum of its proper divisors (1445841).

2124297 is a wasteful number, since it uses less digits than its factorization.

2124297 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4837 (or 4827 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2124297 is about 1457.4968267547. The cubic root of 2124297 is about 128.5499006284.

The spelling of 2124297 in words is "two million, one hundred twenty-four thousand, two hundred ninety-seven".

Divisors: 1 3 7 9 21 49 63 147 441 4817 14451 33719 43353 101157 236033 303471 708099 2124297