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11395839 = 3713419
BaseRepresentation
bin101011011110…
…001011111111
3210102222011010
4223132023333
510404131324
61044130303
7165602010
oct53361377
923388133
1011395839
116483954
123996993
132490000
141729007
151001829
hexade2ff

11395839 has 40 divisors (see below), whose sum is σ = 19802240. Its totient is φ = 5694624.

The previous prime is 11395823. The next prime is 11395843. The reversal of 11395839 is 93859311.

11395839 is nontrivially palindromic in base 12.

11395839 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11395839 - 24 = 11395823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

Its product of digits (29160) is a multiple of the sum of its prime factors (81).

It is a junction number, because it is equal to n+sod(n) for n = 11395797 and 11395806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11395849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 599772 + ... + 599790.

It is an arithmetic number, because the mean of its divisors is an integer number (495056).

Almost surely, 211395839 is an apocalyptic number.

11395839 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11395839 is a deficient number, since it is larger than the sum of its proper divisors (8406401).

11395839 is an frugal number, since it uses more digits than its factorization.

11395839 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 29160, while the sum is 39.

The square root of 11395839 is about 3375.7723560691. The cubic root of 11395839 is about 225.0343256273.

The spelling of 11395839 in words is "eleven million, three hundred ninety-five thousand, eight hundred thirty-nine".

Divisors: 1 3 7 13 19 21 39 57 91 133 169 247 273 399 507 741 1183 1729 2197 3211 3549 5187 6591 9633 15379 22477 28561 41743 46137 67431 85683 125229 199927 292201 542659 599781 876603 1627977 3798613 11395839