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13327764 = 22323431123
BaseRepresentation
bin110010110101…
…110110010100
3221002010020220
4302311312110
511402442024
61153354340
7221166312
oct62656624
927063226
1013327764
11758338a
1245689b0
1329b8468
141aad0b2
151283e79
hexcb5d94

13327764 has 48 divisors (see below), whose sum is σ = 33234432. Its totient is φ = 4146912.

The previous prime is 13327753. The next prime is 13327777. The reversal of 13327764 is 46772331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11307 + ... + 12429.

It is an arithmetic number, because the mean of its divisors is an integer number (692384).

Almost surely, 213327764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13327764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16617216).

13327764 is an abundant number, since it is smaller than the sum of its proper divisors (19906668).

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

13327764 is a wasteful number, since it uses less digits than its factorization.

13327764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1194 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 13327764 is about 3650.7210246744. The cubic root of 13327764 is about 237.0931998273.

The spelling of 13327764 in words is "thirteen million, three hundred twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 92 129 138 172 258 276 516 989 1123 1978 2246 2967 3369 3956 4492 5934 6738 11868 13476 25829 48289 51658 77487 96578 103316 144867 154974 193156 289734 309948 579468 1110647 2221294 3331941 4442588 6663882 13327764