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11968005 = 357219857
BaseRepresentation
bin101101101001…
…111000000101
3211112001000110
4231221320011
511030434010
61104303233
7203504100
oct55517005
924461013
1011968005
116834815
124011b19
13263057a
141837737
1510b6120
hexb69e05

11968005 has 48 divisors (see below), whose sum is σ = 23474880. Its totient is φ = 5177088.

The previous prime is 11968001. The next prime is 11968007. The reversal of 11968005 is 50086911.

It is a happy number.

11968005 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 11968005 - 22 = 11968001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13537 + ... + 14393.

It is an arithmetic number, because the mean of its divisors is an integer number (489060).

Almost surely, 211968005 is an apocalyptic number.

11968005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11968005 is a deficient number, since it is larger than the sum of its proper divisors (11506875).

11968005 is a wasteful number, since it uses less digits than its factorization.

11968005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 11968005 is about 3459.4804523223. The cubic root of 11968005 is about 228.7391944491.

The spelling of 11968005 in words is "eleven million, nine hundred sixty-eight thousand, five".

Divisors: 1 3 5 7 15 19 21 35 49 57 95 105 133 147 245 285 399 665 735 857 931 1995 2571 2793 4285 4655 5999 12855 13965 16283 17997 29995 41993 48849 81415 89985 113981 125979 209965 244245 341943 569905 629895 797867 1709715 2393601 3989335 11968005