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13771296 = 253571123
BaseRepresentation
bin110100100010…
…001000100000
3221220122200000
4310202020200
512011140141
61211100000
7225024360
oct64421040
927818600
1013771296
117856640
124741600
132b122c6
141b869a0
1513205b6
hexd22220

13771296 has 288 divisors, whose sum is σ = 52835328. Its totient is φ = 3421440.

The previous prime is 13771283. The next prime is 13771297. The reversal of 13771296 is 69217731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13771296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13771297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598741 + ... + 598763.

It is an arithmetic number, because the mean of its divisors is an integer number (183456).

Almost surely, 213771296 is an apocalyptic number.

13771296 is a gapful number since it is divisible by the number (16) 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 13771296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664).

13771296 is an abundant number, since it is smaller than the sum of its proper divisors (39064032).

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

13771296 is a wasteful number, since it uses less digits than its factorization.

13771296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 46 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 13771296 is about 3710.9696845973. The cubic root of 13771296 is about 239.6946115728.

The spelling of 13771296 in words is "thirteen million, seven hundred seventy-one thousand, two hundred ninety-six".