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19630016 = 267431019
BaseRepresentation
bin100101011100…
…0011111000000
31100221022022122
41022320133000
520011130031
61540423412
7325565240
oct112703700
940838278
1019630016
111009835a
1266a7b68
1340b3bc3
14286db20
151acb47b
hex12b87c0

19630016 has 56 divisors (see below), whose sum is σ = 45598080. Its totient is φ = 8209152.

The previous prime is 19630007. The next prime is 19630027. The reversal of 19630016 is 61003691.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 18755 + ... + 19773.

Almost surely, 219630016 is an apocalyptic number.

19630016 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 19630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22799040).

19630016 is an abundant number, since it is smaller than the sum of its proper divisors (25968064).

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

19630016 is a wasteful number, since it uses less digits than its factorization.

19630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 19630016 is about 4430.5773890092. The cubic root of 19630016 is about 269.7575143431.

The spelling of 19630016 in words is "nineteen million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1019 1204 1376 2038 2408 2752 4076 4816 7133 8152 9632 14266 16304 19264 28532 32608 43817 57064 65216 87634 114128 175268 228256 306719 350536 456512 613438 701072 1226876 1402144 2453752 2804288 4907504 9815008 19630016