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13216590 = 23251959131
BaseRepresentation
bin110010011010…
…101101001110
3220212110202100
4302122231032
511340412330
61151135530
7220224222
oct62325516
926773670
1013216590
117507902
1245145a6
13297998a
141a80782
151261060
hexc9ab4e

13216590 has 96 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3257280.

The previous prime is 13216583. The next prime is 13216597. The reversal of 13216590 is 9561231.

13216590 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 659 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13216583) and next prime (13216597).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216597) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 100825 + ... + 100955.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 213216590 is an apocalyptic number.

13216590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13216590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

13216590 is an abundant number, since it is smaller than the sum of its proper divisors (23849010).

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

13216590 is a wasteful number, since it uses less digits than its factorization.

13216590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13216590 is about 3635.4628316076. The cubic root of 13216590 is about 236.4321179102.

The spelling of 13216590 in words is "thirteen million, two hundred sixteen thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 59 90 95 114 118 131 171 177 190 262 285 295 342 354 393 531 570 590 655 786 855 885 1062 1121 1179 1310 1710 1770 1965 2242 2358 2489 2655 3363 3930 4978 5310 5605 5895 6726 7467 7729 10089 11210 11790 12445 14934 15458 16815 20178 22401 23187 24890 33630 37335 38645 44802 46374 50445 69561 74670 77290 100890 112005 115935 139122 146851 224010 231870 293702 347805 440553 695610 734255 881106 1321659 1468510 2202765 2643318 4405530 6608295 13216590