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13590016 = 291119127
BaseRepresentation
bin110011110101…
…111000000000
3221120102222221
4303311320000
511434340031
61203140424
7223341016
oct63657000
927512887
1013590016
117742420
124674714
132a7a93b
141b3a8b6
1512d6a11
hexcf5e00

13590016 has 80 divisors (see below), whose sum is σ = 31426560. Its totient is φ = 5806080.

The previous prime is 13589993. The next prime is 13590019. The reversal of 13590016 is 61009531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13590019) by changing a digit.

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, 106945 + ... + 107071.

It is an arithmetic number, because the mean of its divisors is an integer number (392832).

Almost surely, 213590016 is an apocalyptic number.

13590016 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 13590016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15713280).

13590016 is an abundant number, since it is smaller than the sum of its proper divisors (17836544).

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

13590016 is a wasteful number, since it uses less digits than its factorization.

13590016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 13590016 is about 3686.4638883353. The cubic root of 13590016 is about 238.6382136147.

Adding to 13590016 its reverse (61009531), we get a palindrome (74599547).

The spelling of 13590016 in words is "thirteen million, five hundred ninety thousand, sixteen".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 127 128 152 176 209 254 256 304 352 418 508 512 608 704 836 1016 1216 1397 1408 1672 2032 2413 2432 2794 2816 3344 4064 4826 4864 5588 5632 6688 8128 9652 9728 11176 13376 16256 19304 22352 26543 26752 32512 38608 44704 53086 53504 65024 77216 89408 106172 107008 154432 178816 212344 308864 357632 424688 617728 715264 849376 1235456 1698752 3397504 6795008 13590016