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13674528 = 2533721719
BaseRepresentation
bin110100001010…
…100000100000
3221201201221000
4310022200200
512000041103
61205032000
7224142300
oct64124040
927651830
1013674528
11779a96a
1246b5600
132aaa24a
141b5d600
151301aa3
hexd0a820

13674528 has 288 divisors, whose sum is σ = 51710400. Its totient is φ = 3483648.

The previous prime is 13674413. The next prime is 13674539. The reversal of 13674528 is 82547631.

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).

Its product of digits (40320) is a multiple of the sum of its prime divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13674492 and 13674501.

It is an unprimeable number.

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, 719703 + ... + 719721.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 213674528 is an apocalyptic number.

13674528 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 13674528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

13674528 is an abundant number, since it is smaller than the sum of its proper divisors (38035872).

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

13674528 is a wasteful number, since it uses less digits than its factorization.

13674528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 48 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13674528 is about 3697.9085981133. The cubic root of 13674528 is about 239.1318635325.

It can be divided in two parts, 13 and 674528, that added together give a triangular number (674541 = T1161).

The spelling of 13674528 in words is "thirteen million, six hundred seventy-four thousand, five hundred twenty-eight".