Search a number
-
+
13327050 = 23521141197
BaseRepresentation
bin110010110101…
…101011001010
3221002002021110
4302311223022
511402431200
61153351150
7221164242
oct62655312
927062243
1013327050
1175828a0
1245684b6
1329b8039
141aacb22
151283b50
hexcb5aca

13327050 has 96 divisors (see below), whose sum is σ = 37122624. Its totient is φ = 3136000.

The previous prime is 13327021. The next prime is 13327057. The reversal of 13327050 is 5072331.

It is a happy number.

It is a super-2 number, since 2×133270502 = 355220523405000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13327057) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67552 + ... + 67748.

It is an arithmetic number, because the mean of its divisors is an integer number (386694).

Almost surely, 213327050 is an apocalyptic number.

13327050 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 13327050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312).

13327050 is an abundant number, since it is smaller than the sum of its proper divisors (23795574).

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

13327050 is a wasteful number, since it uses less digits than its factorization.

13327050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13327050 is about 3650.6232344628. The cubic root of 13327050 is about 237.0889658696.

Adding to 13327050 its reverse (5072331), we get a palindrome (18399381).

The spelling of 13327050 in words is "thirteen million, three hundred twenty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 150 165 197 205 246 275 330 394 410 451 550 591 615 825 902 985 1025 1182 1230 1353 1650 1970 2050 2167 2255 2706 2955 3075 4334 4510 4925 5910 6150 6501 6765 8077 9850 10835 11275 13002 13530 14775 16154 21670 22550 24231 29550 32505 33825 40385 48462 54175 65010 67650 80770 88847 108350 121155 162525 177694 201925 242310 266541 325050 403850 444235 533082 605775 888470 1211550 1332705 2221175 2665410 4442350 6663525 13327050