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13359888 = 2432192257
BaseRepresentation
bin110010111101…
…101100010000
3221010202022200
4302331230100
511410004023
61154203200
7221362053
oct62755420
927122280
1013359888
1175a5533
124583500
1329c9c79
141abaa9a
15128d743
hexcbdb10

13359888 has 90 divisors (see below), whose sum is σ = 39614094. Its totient is φ = 4202496.

The previous prime is 13359851. The next prime is 13359889. The reversal of 13359888 is 88895331.

13359888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13307904 + 51984 = 3648^2 + 228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13359889) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51856 + ... + 52112.

Almost surely, 213359888 is an apocalyptic number.

13359888 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 13359888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19807047).

13359888 is an abundant number, since it is smaller than the sum of its proper divisors (26254206).

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

13359888 is a wasteful number, since it uses less digits than its factorization.

13359888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 13359888 is about 3655.1180555490. The cubic root of 13359888 is about 237.2835361022.

It can be divided in two parts, 1 and 3359888, that added together give a square (3359889 = 18332).

The spelling of 13359888 in words is "thirteen million, three hundred fifty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 257 304 342 361 456 514 684 722 771 912 1028 1083 1368 1444 1542 2056 2166 2313 2736 2888 3084 3249 4112 4332 4626 4883 5776 6168 6498 8664 9252 9766 12336 12996 14649 17328 18504 19532 25992 29298 37008 39064 43947 51984 58596 78128 87894 92777 117192 175788 185554 234384 278331 351576 371108 556662 703152 742216 834993 1113324 1484432 1669986 2226648 3339972 4453296 6679944 13359888