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13198428 = 2232523701
BaseRepresentation
bin110010010110…
…010001011100
3220211112211200
4302112101130
511334322203
61150515500
7220120245
oct62262134
926745750
1013198428
1174a51a1
124505b90
132971629
141a77ccc
15125a9a3
hexc9645c

13198428 has 36 divisors (see below), whose sum is σ = 33474168. Its totient is φ = 4384800.

The previous prime is 13198379. The next prime is 13198429. The reversal of 13198428 is 82489131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13198392 and 13198401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13198429) 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 11 ways as a sum of consecutive naturals, for example, 18478 + ... + 19178.

It is an arithmetic number, because the mean of its divisors is an integer number (929838).

Almost surely, 213198428 is an apocalyptic number.

13198428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13198428 is an abundant number, since it is smaller than the sum of its proper divisors (20275740).

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

13198428 is a wasteful number, since it uses less digits than its factorization.

13198428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1229 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13198428 is about 3632.9640790957. The cubic root of 13198428 is about 236.3237680112.

The spelling of 13198428 in words is "thirteen million, one hundred ninety-eight thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 523 701 1046 1402 1569 2092 2103 2804 3138 4206 4707 6276 6309 8412 9414 12618 18828 25236 366623 733246 1099869 1466492 2199738 3299607 4399476 6599214 13198428