Search a number
-
+
13062500 = 22561119
BaseRepresentation
bin110001110101…
…000101100100
3220120122101022
4301311011210
511321000000
61143550312
7216013043
oct61650544
926518338
1013062500
117412060
12445b398
1329247b9
141a4055a
151230585
hexc75164

13062500 has 84 divisors (see below), whose sum is σ = 32812080. Its totient is φ = 4500000.

The previous prime is 13062487. The next prime is 13062503. The reversal of 13062500 is 526031.

It is not an unprimeable number, because it can be changed into a prime (13062503) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 687491 + ... + 687509.

It is an arithmetic number, because the mean of its divisors is an integer number (390620).

Almost surely, 213062500 is an apocalyptic number.

13062500 is a gapful number since it is divisible by the number (10) 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 13062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16406040).

13062500 is an abundant number, since it is smaller than the sum of its proper divisors (19749580).

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

13062500 is an equidigital number, since it uses as much as digits as its factorization.

13062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13062500 is about 3614.2080737002. The cubic root of 13062500 is about 235.5096829637.

Adding to 13062500 its reverse (526031), we get a palindrome (13588531).

The spelling of 13062500 in words is "thirteen million, sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 125 190 209 220 250 275 380 418 475 500 550 625 836 950 1045 1100 1250 1375 1900 2090 2375 2500 2750 3125 4180 4750 5225 5500 6250 6875 9500 10450 11875 12500 13750 15625 20900 23750 26125 27500 31250 34375 47500 52250 59375 62500 68750 104500 118750 130625 137500 171875 237500 261250 296875 343750 522500 593750 653125 687500 1187500 1306250 2612500 3265625 6531250 13062500