Search a number
-
+
12938536 = 2313472647
BaseRepresentation
bin110001010110…
…110100101000
3220100100100001
4301112310220
511303013121
61141152344
7214655452
oct61266450
926310301
1012938536
117337a06
1243bb6b4
1328b0250
141a0b2d2
151208991
hexc56d28

12938536 has 32 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 5842368.

The previous prime is 12938521. The next prime is 12938573. The reversal of 12938536 is 63583921.

It is a junction number, because it is equal to n+sod(n) for n = 12938495 and 12938504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3565 + ... + 6211.

It is an arithmetic number, because the mean of its divisors is an integer number (834120).

Almost surely, 212938536 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 12938536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345920).

12938536 is an abundant number, since it is smaller than the sum of its proper divisors (13753304).

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

12938536 is a wasteful number, since it uses less digits than its factorization.

12938536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2709 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 12938536 is about 3597.0176535569. The cubic root of 12938536 is about 234.7623128675.

The spelling of 12938536 in words is "twelve million, nine hundred thirty-eight thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 2444 2647 4888 5294 10588 21176 34411 68822 124409 137644 248818 275288 497636 995272 1617317 3234634 6469268 12938536