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12998328 = 233731579
BaseRepresentation
bin110001100101…
…011010111000
3220110101100120
4301211122320
511311421303
61142333240
7215325000
oct61453270
926411316
1012998328
117378922
12442a220
132901525
141a25000
15121b553
hexc656b8

12998328 has 64 divisors (see below), whose sum is σ = 37920000. Its totient is φ = 3711456.

The previous prime is 12998327. The next prime is 12998329. The reversal of 12998328 is 82389921.

12998328 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12998327) and next prime (12998329).

It is a Harshad number since it is a multiple of its sum of digits (42).

12998328 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 12998328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12998327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7443 + ... + 9021.

It is an arithmetic number, because the mean of its divisors is an integer number (592500).

Almost surely, 212998328 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 12998328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18960000).

12998328 is an abundant number, since it is smaller than the sum of its proper divisors (24921672).

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

12998328 is a wasteful number, since it uses less digits than its factorization.

12998328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1591 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 12998328 is about 3605.3194033261. The cubic root of 12998328 is about 235.1233877460.

The spelling of 12998328 in words is "twelve million, nine hundred ninety-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 1579 2058 2744 3158 4116 4737 6316 8232 9474 11053 12632 18948 22106 33159 37896 44212 66318 77371 88424 132636 154742 232113 265272 309484 464226 541597 618968 928452 1083194 1624791 1856904 2166388 3249582 4332776 6499164 12998328