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1997593 = 13374153
BaseRepresentation
bin111100111101100011001
310202111011221
413213230121
51002410333
6110452041
722656613
oct7475431
93674157
101997593
111144904
12804021
1354c310
1439ddb3
15296d2d
hex1e7b19

1997593 has 8 divisors (see below), whose sum is σ = 2209928. Its totient is φ = 1793664.

The previous prime is 1997591. The next prime is 1997599. The reversal of 1997593 is 3957991.

It can be written as a sum of positive squares in 4 ways, for example, as 15129 + 1982464 = 123^2 + 1408^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1997593 - 21 = 1997591 is a prime.

It is a Duffinian number.

1997593 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1997591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596 + ... + 2557.

It is an arithmetic number, because the mean of its divisors is an integer number (276241).

21997593 is an apocalyptic number.

1997593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1997593 is a deficient number, since it is larger than the sum of its proper divisors (212335).

1997593 is a wasteful number, since it uses less digits than its factorization.

1997593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203.

The product of its digits is 76545, while the sum is 43.

The square root of 1997593 is about 1413.3623031622. The cubic root of 1997593 is about 125.9415408666.

The spelling of 1997593 in words is "one million, nine hundred ninety-seven thousand, five hundred ninety-three".

Divisors: 1 13 37 481 4153 53989 153661 1997593