Search a number
-
+
13030290 = 23257133743
BaseRepresentation
bin110001101101…
…001110010010
3220112000012100
4301231032102
511313432130
61143141230
7215520120
oct61551622
926460170
1013030290
11739a939
124444816
132912c40
141a32910
151225c60
hexc6d392

13030290 has 192 divisors, whose sum is σ = 43819776. Its totient is φ = 2612736.

The previous prime is 13030273. The next prime is 13030291. The reversal of 13030290 is 9203031.

13030290 = T489 + T490 + ... + T579.

13030290 is digitally balanced in base 2 and base 4, because in such bases 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 not an unprimeable number, because it can be changed into a prime (13030291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 303009 + ... + 303051.

It is an arithmetic number, because the mean of its divisors is an integer number (228228).

Almost surely, 213030290 is an apocalyptic number.

13030290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13030290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888).

13030290 is an abundant number, since it is smaller than the sum of its proper divisors (30789486).

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

13030290 is a wasteful number, since it uses less digits than its factorization.

13030290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 13030290 is about 3609.7492987741. The cubic root of 13030290 is about 235.3159474477.

The spelling of 13030290 in words is "thirteen million, thirty thousand, two hundred ninety".