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19720160 = 255592089
BaseRepresentation
bin100101100111…
…0011111100000
31101002212222022
41023032133200
520022021120
61542401012
7326422115
oct113163740
941085868
1019720160
111014a059
126730168
134115c45
14289490c
151ae8025
hex12ce7e0

19720160 has 48 divisors (see below), whose sum is σ = 47401200. Its totient is φ = 7750656.

The previous prime is 19720159. The next prime is 19720163. The reversal of 19720160 is 6102791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19720163) 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 7 ways as a sum of consecutive naturals, for example, 8396 + ... + 10484.

It is an arithmetic number, because the mean of its divisors is an integer number (987525).

Almost surely, 219720160 is an apocalyptic number.

19720160 is a gapful number since it is divisible by the number (10) 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 19720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700600).

19720160 is an abundant number, since it is smaller than the sum of its proper divisors (27681040).

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

19720160 is a wasteful number, since it uses less digits than its factorization.

19720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 19720160 is about 4440.7386772923. The cubic root of 19720160 is about 270.1698063073.

The spelling of 19720160 in words is "nineteen million, seven hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2089 2360 4178 4720 8356 9440 10445 16712 20890 33424 41780 66848 83560 123251 167120 246502 334240 493004 616255 986008 1232510 1972016 2465020 3944032 4930040 9860080 19720160