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19130016 = 253892239
BaseRepresentation
bin100100011111…
…0011010100000
31022222220110010
41020332122200
514344130031
61522004520
7321413433
oct110763240
938886403
1019130016
11a886734
1264a6740
133c6a449
14277d81a
151a2d246
hex123e6a0

19130016 has 48 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 6302208.

The previous prime is 19130011. The next prime is 19130029. The reversal of 19130016 is 61003191.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 19129974 and 19130001.

It is not an unprimeable number, because it can be changed into a prime (19130011) 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 7 ways as a sum of consecutive naturals, for example, 7425 + ... + 9663.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 219130016 is an apocalyptic number.

19130016 is a gapful number since it is divisible by the number (16) 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 19130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

19130016 is an abundant number, since it is smaller than the sum of its proper divisors (31673184).

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

19130016 is a wasteful number, since it uses less digits than its factorization.

19130016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 19130016 is about 4373.7873748046. The cubic root of 19130016 is about 267.4474395232.

The spelling of 19130016 in words is "nineteen million, one hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2239 2848 4272 4478 6717 8544 8956 13434 17912 26868 35824 53736 71648 107472 199271 214944 398542 597813 797084 1195626 1594168 2391252 3188336 4782504 6376672 9565008 19130016