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11719368 = 23321391171
BaseRepresentation
bin101100101101…
…001011001000
3211001101221200
4230231023020
511000004433
61055104200
7201420153
oct54551310
924041850
1011719368
116684a31
123b12060
13257434b
1417b0c9a
151067613
hexb2d2c8

11719368 has 48 divisors (see below), whose sum is σ = 31995600. Its totient is φ = 3875040.

The previous prime is 11719363. The next prime is 11719369. The reversal of 11719368 is 86391711.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (11719363) 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, 9423 + ... + 10593.

It is an arithmetic number, because the mean of its divisors is an integer number (666575).

Almost surely, 211719368 is an apocalyptic number.

11719368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11719368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15997800).

11719368 is an abundant number, since it is smaller than the sum of its proper divisors (20276232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11719368 is a wasteful number, since it uses less digits than its factorization.

11719368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1315 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11719368 is about 3423.3562478947. The cubic root of 11719368 is about 227.1440668535.

The spelling of 11719368 in words is "eleven million, seven hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1171 1251 1668 2342 2502 3336 3513 4684 5004 7026 9368 10008 10539 14052 21078 28104 42156 84312 162769 325538 488307 651076 976614 1302152 1464921 1953228 2929842 3906456 5859684 11719368