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13535130 = 235764453
BaseRepresentation
bin110011101000…
…011110011010
3221110122201010
4303220132122
511431111010
61202034350
7223022010
oct63503632
927418633
1013535130
117705164
1246489b6
132a5b96b
141b248b0
1512c5620
hexce879a

13535130 has 32 divisors (see below), whose sum is σ = 37125504. Its totient is φ = 3093696.

The previous prime is 13535117. The next prime is 13535167. The reversal of 13535130 is 3153531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13535097 and 13535106.

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 15 ways as a sum of consecutive naturals, for example, 32017 + ... + 32436.

It is an arithmetic number, because the mean of its divisors is an integer number (1160172).

Almost surely, 213535130 is an apocalyptic number.

13535130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13535130 is an abundant number, since it is smaller than the sum of its proper divisors (23590374).

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

13535130 is a wasteful number, since it uses less digits than its factorization.

13535130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64470.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13535130 is about 3679.0120956583. The cubic root of 13535130 is about 238.3165174154.

Adding to 13535130 its reverse (3153531), we get a palindrome (16688661).

The spelling of 13535130 in words is "thirteen million, five hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 64453 128906 193359 322265 386718 451171 644530 902342 966795 1353513 1933590 2255855 2707026 4511710 6767565 13535130