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13500319 = 75336389
BaseRepresentation
bin110011011111…
…111110011111
3221101212221211
4303133332133
511424002234
61201205251
7222515350
oct63377637
927355854
1013500319
117690a98
124630827
132a48b71
141b15d27
1512ba164
hexcdff9f

13500319 has 8 divisors (see below), whose sum is σ = 15720480. Its totient is φ = 11353056.

The previous prime is 13500307. The next prime is 13500343. The reversal of 13500319 is 91300531.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13500319 - 211 = 13498271 is a prime.

It is a super-2 number, since 2×135003192 = 364517226203522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13500319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13500119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17824 + ... + 18565.

It is an arithmetic number, because the mean of its divisors is an integer number (1965060).

Almost surely, 213500319 is an apocalyptic number.

13500319 is a deficient number, since it is larger than the sum of its proper divisors (2220161).

13500319 is an equidigital number, since it uses as much as digits as its factorization.

13500319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36449.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 13500319 is about 3674.2780243199. The cubic root of 13500319 is about 238.1120332654.

The spelling of 13500319 in words is "thirteen million, five hundred thousand, three hundred nineteen".

Divisors: 1 7 53 371 36389 254723 1928617 13500319