[go: up one dir, main page]

Search a number
-
+
13030128 = 2432412207
BaseRepresentation
bin110001101101…
…001011110000
3220111222222100
4301231023300
511313431003
61143140400
7215516466
oct61551360
926458870
1013030128
11739a801
124444700
132912b47
141a32836
151225ba3
hexc6d2f0

13030128 has 60 divisors (see below), whose sum is σ = 37372608. Its totient is φ = 4235520.

The previous prime is 13030123. The next prime is 13030151. The reversal of 13030128 is 82103031.

13030128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 13030128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4801 + ... + 7007.

Almost surely, 213030128 is an apocalyptic number.

13030128 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 13030128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686304).

13030128 is an abundant number, since it is smaller than the sum of its proper divisors (24342480).

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

13030128 is a wasteful number, since it uses less digits than its factorization.

13030128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13030128 is about 3609.7268594729. The cubic root of 13030128 is about 235.3149722496.

Adding to 13030128 its reverse (82103031), we get a palindrome (95133159).

The spelling of 13030128 in words is "thirteen million, thirty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2207 2952 4414 5904 6621 8828 13242 17656 19863 26484 35312 39726 52968 79452 90487 105936 158904 180974 271461 317808 361948 542922 723896 814383 1085844 1447792 1628766 2171688 3257532 4343376 6515064 13030128