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2190705 = 351121771
BaseRepresentation
bin1000010110110101110001
311010022002020
420112311301
51030100310
6114542053
724422616
oct10266561
94108066
102190705
111266a00
12897929
135b919a
1441050d
152d4170
hex216d71

2190705 has 48 divisors (see below), whose sum is σ = 4136832. Its totient is φ = 985600.

The previous prime is 2190691. The next prime is 2190737. The reversal of 2190705 is 5070912.

2190705 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 2190705 - 27 = 2190577 is a prime.

It is a Curzon number.

2190705 is a lucky number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30820 + ... + 30890.

It is an arithmetic number, because the mean of its divisors is an integer number (86184).

22190705 is an apocalyptic number.

It is an amenable number.

2190705 is a deficient number, since it is larger than the sum of its proper divisors (1946127).

2190705 is a wasteful number, since it uses less digits than its factorization.

2190705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 2190705 is about 1480.1030369538. The cubic root of 2190705 is about 129.8757194895.

The spelling of 2190705 in words is "two million, one hundred ninety thousand, seven hundred five".

Divisors: 1 3 5 11 15 17 33 51 55 71 85 121 165 187 213 255 355 363 561 605 781 935 1065 1207 1815 2057 2343 2805 3621 3905 6035 6171 8591 10285 11715 13277 18105 25773 30855 39831 42955 66385 128865 146047 199155 438141 730235 2190705