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2190937 = 7261733
BaseRepresentation
bin1000010110111001011001
311010022101211
420112321121
51030102222
6114543121
724423400
oct10267131
94108354
102190937
1112670a1
12897aa1
135b9318
14410637
152d4277
hex216e59

2190937 has 12 divisors (see below), whose sum is σ = 2593956. Its totient is φ = 1844640.

The previous prime is 2190901. The next prime is 2190959. The reversal of 2190937 is 7390912.

2190937 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1132096 + 1058841 = 1064^2 + 1029^2 .

It is not a de Polignac number, because 2190937 - 27 = 2190809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2190899 and 2190908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190997) 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, 2623 + ... + 3355.

It is an arithmetic number, because the mean of its divisors is an integer number (216163).

22190937 is an apocalyptic number.

It is an amenable number.

2190937 is a deficient number, since it is larger than the sum of its proper divisors (403019).

2190937 is an equidigital number, since it uses as much as digits as its factorization.

2190937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 31.

The square root of 2190937 is about 1480.1814078011. The cubic root of 2190937 is about 129.8803040263.

The spelling of 2190937 in words is "two million, one hundred ninety thousand, nine hundred thirty-seven".

Divisors: 1 7 49 61 427 733 2989 5131 35917 44713 312991 2190937