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16080416 = 251124153
BaseRepresentation
bin111101010101…
…111000100000
31010020222011222
4331111320200
513104033131
61332354212
7253452452
oct75257040
933228158
1016080416
119093500
125475968
133440351
1421c82d2
15162987b
hexf55e20

16080416 has 36 divisors (see below), whose sum is σ = 34806366. Its totient is φ = 7307520.

The previous prime is 16080401. The next prime is 16080437. The reversal of 16080416 is 61408061.

16080416 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 only one way, i.e., 16032016 + 48400 = 4004^2 + 220^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1796 + ... + 5948.

Almost surely, 216080416 is an apocalyptic number.

16080416 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 16080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17403183).

16080416 is an abundant number, since it is smaller than the sum of its proper divisors (18725950).

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

16080416 is a wasteful number, since it uses less digits than its factorization.

16080416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 16080416 is about 4010.0394013027. The cubic root of 16080416 is about 252.4056622390.

Adding to 16080416 its reverse (61408061), we get a palindrome (77488477).

The spelling of 16080416 in words is "sixteen million, eighty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 4153 8306 16612 33224 45683 66448 91366 132896 182732 365464 502513 730928 1005026 1461856 2010052 4020104 8040208 16080416