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13042208 = 251921129
BaseRepresentation
bin110001110000…
…001000100000
3220112121112202
4301300020200
511314322313
61143312332
7215566634
oct61601040
926477482
1013042208
1173a8893
12444b6a8
1329184aa
141a36dc4
151229558
hexc70220

13042208 has 36 divisors (see below), whose sum is σ = 27123390. Its totient is φ = 6172416.

The previous prime is 13042207. The next prime is 13042259. The reversal of 13042208 is 80224031.

It can be written as a sum of positive squares in only one way, i.e., 12759184 + 283024 = 3572^2 + 532^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13042208.

It is not an unprimeable number, because it can be changed into a prime (13042207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10988 + ... + 12116.

Almost surely, 213042208 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 13042208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561695).

13042208 is an abundant number, since it is smaller than the sum of its proper divisors (14081182).

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

13042208 is a wasteful number, since it uses less digits than its factorization.

13042208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 13042208 is about 3611.3997286371. The cubic root of 13042208 is about 235.3876685647.

Adding to 13042208 its reverse (80224031), we get a palindrome (93266239).

The spelling of 13042208 in words is "thirteen million, forty-two thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1129 1444 2258 2888 4516 5776 9032 11552 18064 21451 36128 42902 85804 171608 343216 407569 686432 815138 1630276 3260552 6521104 13042208