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2141307 = 32741829
BaseRepresentation
bin1000001010110001111011
311000210022200
420022301323
51022010212
6113521243
724125610
oct10126173
94023280
102141307
111232883
12873223
1359c85c
143da507
152c46dc
hex20ac7b

2141307 has 24 divisors (see below), whose sum is σ = 3625440. Its totient is φ = 1192320.

The previous prime is 2141299. The next prime is 2141311. The reversal of 2141307 is 7031412.

2141307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2141307 - 23 = 2141299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2141307.

It is not an unprimeable number, because it can be changed into a prime (2141407) 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 23 ways as a sum of consecutive naturals, for example, 2169 + ... + 2997.

It is an arithmetic number, because the mean of its divisors is an integer number (151060).

22141307 is an apocalyptic number.

2141307 is a deficient number, since it is larger than the sum of its proper divisors (1484133).

2141307 is a wasteful number, since it uses less digits than its factorization.

2141307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 2141307 is about 1463.3205390481. The cubic root of 2141307 is about 128.8921037589.

Adding to 2141307 its reverse (7031412), we get a palindrome (9172719).

It can be divided in two parts, 214 and 1307, that added together give a square (1521 = 392).

The spelling of 2141307 in words is "two million, one hundred forty-one thousand, three hundred seven".

Divisors: 1 3 7 9 21 41 63 123 287 369 829 861 2487 2583 5803 7461 17409 33989 52227 101967 237923 305901 713769 2141307