Search a number
-
+
12965300 = 2252317409
BaseRepresentation
bin110001011101…
…010110110100
3220101201001022
4301131112310
511304342200
61141520312
7215126465
oct61352664
926351038
1012965300
117356027
124413098
1328bc49a
141a16d6c
151211885
hexc5d5b4

12965300 has 36 divisors (see below), whose sum is σ = 28292460. Its totient is φ = 5157120.

The previous prime is 12965287. The next prime is 12965333. The reversal of 12965300 is 356921.

It can be written as a sum of positive squares in 6 ways, for example, as 376996 + 12588304 = 614^2 + 3548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12965300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31496 + ... + 31904.

Almost surely, 212965300 is an apocalyptic number.

12965300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12965300 is an abundant number, since it is smaller than the sum of its proper divisors (15327160).

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

12965300 is a wasteful number, since it uses less digits than its factorization.

12965300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 12965300 is about 3600.7360358682. The cubic root of 12965300 is about 234.9240738571.

The spelling of 12965300 in words is "twelve million, nine hundred sixty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 317 409 634 818 1268 1585 1636 2045 3170 4090 6340 7925 8180 10225 15850 20450 31700 40900 129653 259306 518612 648265 1296530 2593060 3241325 6482650 12965300