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16082320 = 245533793
BaseRepresentation
bin111101010110…
…010110010000
31010021001210111
4331112112100
513104113240
61332411104
7253461142
oct75262620
933231714
1016082320
119094981
125476a94
133441187
1421c8c92
15162a1ea
hexf56590

16082320 has 40 divisors (see below), whose sum is σ = 38106936. Its totient is φ = 6309888.

The previous prime is 16082299. The next prime is 16082321. The reversal of 16082320 is 2328061.

16082320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1089936 + 14992384 = 1044^2 + 3872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 16082291 and 16082300.

It is not an unprimeable number, because it can be changed into a prime (16082321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2344 + ... + 6136.

Almost surely, 216082320 is an apocalyptic number.

16082320 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 16082320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053468).

16082320 is an abundant number, since it is smaller than the sum of its proper divisors (22024616).

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

16082320 is a wasteful number, since it uses less digits than its factorization.

16082320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16082320 is about 4010.2767984268. The cubic root of 16082320 is about 252.4156238680.

The spelling of 16082320 in words is "sixteen million, eighty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 3793 4240 7586 15172 18965 30344 37930 60688 75860 151720 201029 303440 402058 804116 1005145 1608232 2010290 3216464 4020580 8041160 16082320