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13526028 = 2234109383
BaseRepresentation
bin110011100110…
…010000001100
3221110012020000
4303212100030
511430313103
61201524300
7222653325
oct63462014
927405200
1013526028
1176a933a
124643690
132a57789
141b2144c
1512c2aa3
hexce640c

13526028 has 60 divisors (see below), whose sum is σ = 35777280. Its totient is φ = 4455648.

The previous prime is 13526017. The next prime is 13526041. The reversal of 13526028 is 82062531.

13526028 is a `hidden beast` number, since 1 + 3 + 52 + 602 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13525992 and 13526010.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35125 + ... + 35507.

It is an arithmetic number, because the mean of its divisors is an integer number (596288).

Almost surely, 213526028 is an apocalyptic number.

13526028 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 13526028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888640).

13526028 is an abundant number, since it is smaller than the sum of its proper divisors (22251252).

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

13526028 is a wasteful number, since it uses less digits than its factorization.

13526028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13526028 is about 3677.7748707609. The cubic root of 13526028 is about 238.2630850175.

Adding to 13526028 its reverse (82062531), we get a palindrome (95588559).

The spelling of 13526028 in words is "thirteen million, five hundred twenty-six thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 109 162 218 324 327 383 436 654 766 981 1149 1308 1532 1962 2298 2943 3447 3924 4596 5886 6894 8829 10341 11772 13788 17658 20682 31023 35316 41364 41747 62046 83494 124092 125241 166988 250482 375723 500964 751446 1127169 1502892 2254338 3381507 4508676 6763014 13526028