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13028192 = 2529101139
BaseRepresentation
bin110001101100…
…101101100000
3220111220022122
4301230231200
511313400232
61143123412
7215511032
oct61545540
926456278
1013028192
117399301
124443568
132911cb8
141a31c52
151225312
hexc6cb60

13028192 has 48 divisors (see below), whose sum is σ = 26989200. Its totient is φ = 6182400.

The previous prime is 13028179. The next prime is 13028207. The reversal of 13028192 is 29182031.

It is a congruent number.

It is an unprimeable number.

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, 93659 + ... + 93797.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 213028192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13028192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494600).

13028192 is an abundant number, since it is smaller than the sum of its proper divisors (13961008).

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

13028192 is a wasteful number, since it uses less digits than its factorization.

13028192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13028192 is about 3609.4586851770. The cubic root of 13028192 is about 235.3033174050.

The spelling of 13028192 in words is "thirteen million, twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 101 116 139 202 232 278 404 464 556 808 928 1112 1616 2224 2929 3232 4031 4448 5858 8062 11716 14039 16124 23432 28078 32248 46864 56156 64496 93728 112312 128992 224624 407131 449248 814262 1628524 3257048 6514096 13028192