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19135116 = 22347111359

19135116 has 240 divisors, whose sum is σ = 68302080. Its totient is φ = 4510080.

The previous prime is 19135111. The next prime is 19135117. The reversal of 19135116 is 61153191.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 19135116.

It is not an unprimeable number, because it can be changed into a prime (19135111) 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 79 ways as a sum of consecutive naturals, for example, 324295 + ... + 324353.

It is an arithmetic number, because the mean of its divisors is an integer number (284592).

Almost surely, 219135116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19135116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34151040).

19135116 is an abundant number, since it is smaller than the sum of its proper divisors (49166964).

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

19135116 is a wasteful number, since it uses less digits than its factorization.

19135116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 95 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 19135116 is about 4374.3703546911. The cubic root of 19135116 is about 267.4712042838.

The spelling of 19135116 in words is "nineteen million, one hundred thirty-five thousand, one hundred sixteen".