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13397888 = 27719787
BaseRepresentation
bin110011000110…
…111110000000
3221012200110002
4303012332000
511412213023
61155055132
7221610620
oct63067600
927180402
1013397888
117621039
1245a14a8
132a1135a
141aca880
151299b28
hexcc6f80

13397888 has 64 divisors (see below), whose sum is σ = 32150400. Its totient is φ = 5432832.

The previous prime is 13397863. The next prime is 13397893. The reversal of 13397888 is 88879331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×133978883 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16631 + ... + 17417.

It is an arithmetic number, because the mean of its divisors is an integer number (502350).

Almost surely, 213397888 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 13397888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16075200).

13397888 is an abundant number, since it is smaller than the sum of its proper divisors (18752512).

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

13397888 is an equidigital number, since it uses as much as digits as its factorization.

13397888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its digits is 290304, while the sum is 47.

The square root of 13397888 is about 3660.3125549603. The cubic root of 13397888 is about 237.5082944472.

The spelling of 13397888 in words is "thirteen million, three hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 787 896 1064 1216 1574 2128 2432 3148 4256 5509 6296 8512 11018 12592 14953 17024 22036 25184 29906 44072 50368 59812 88144 100736 104671 119624 176288 209342 239248 352576 418684 478496 705152 837368 956992 1674736 1913984 3349472 6698944 13397888