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13030032 = 2434359107
BaseRepresentation
bin110001101101…
…001010010000
3220111222211210
4301231022100
511313430112
61143140120
7215516301
oct61551220
926458753
1013030032
11739a724
124444640
132912aa2
141a327a8
151225b3c
hexc6d290

13030032 has 80 divisors (see below), whose sum is σ = 35354880. Its totient is φ = 4131456.

The previous prime is 13029979. The next prime is 13030037. The reversal of 13030032 is 23003031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13030037) 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, 121723 + ... + 121829.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 213030032 is an apocalyptic number.

13030032 is a gapful number since it is divisible by the number (12) 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 13030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17677440).

13030032 is an abundant number, since it is smaller than the sum of its proper divisors (22324848).

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

13030032 is a wasteful number, since it uses less digits than its factorization.

13030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13030032 is about 3609.7135620434. The cubic root of 13030032 is about 235.3143943506.

Adding to 13030032 its reverse (23003031), we get a palindrome (36033063).

The spelling of 13030032 in words is "thirteen million, thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 107 118 129 172 177 214 236 258 321 344 354 428 472 516 642 688 708 856 944 1032 1284 1416 1712 2064 2537 2568 2832 4601 5074 5136 6313 7611 9202 10148 12626 13803 15222 18404 18939 20296 25252 27606 30444 36808 37878 40592 50504 55212 60888 73616 75756 101008 110424 121776 151512 220848 271459 303024 542918 814377 1085836 1628754 2171672 3257508 4343344 6515016 13030032