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13720266 = 235737109
BaseRepresentation
bin110100010101…
…101011001010
3221211001200000
4310111223022
512003022031
61210023430
7224422530
oct64255312
927731600
1013720266
11782126a
124717b76
132ac5001
141b72150
1513103e6
hexd15aca

13720266 has 96 divisors (see below), whose sum is σ = 36516480. Its totient is φ = 3779136.

The previous prime is 13720247. The next prime is 13720271. The reversal of 13720266 is 66202731.

It is a happy number.

13720266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×137202662 = 376491398221512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125820 + ... + 125928.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 213720266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13720266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18258240).

13720266 is an abundant number, since it is smaller than the sum of its proper divisors (22796214).

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

13720266 is a wasteful number, since it uses less digits than its factorization.

13720266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 13720266 is about 3704.0877419413. The cubic root of 13720266 is about 239.3981796458.

Adding to 13720266 its reverse (66202731), we get a palindrome (79922997).

The spelling of 13720266 in words is "thirteen million, seven hundred twenty thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 109 111 126 162 189 218 222 243 259 327 333 378 486 518 567 654 666 763 777 981 999 1134 1526 1554 1701 1962 1998 2289 2331 2943 2997 3402 4033 4578 4662 5886 5994 6867 6993 8066 8829 8991 12099 13734 13986 17658 17982 20601 20979 24198 26487 28231 36297 41202 41958 52974 56462 61803 62937 72594 84693 108891 123606 125874 169386 185409 217782 254079 326673 370818 508158 653346 762237 980019 1524474 1960038 2286711 4573422 6860133 13720266