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16080064 = 2671113251
BaseRepresentation
bin111101010101…
…110011000000
31010020221200221
4331111303000
513104030224
61332352424
7253451440
oct75256300
933227627
1016080064
119093210
125475714
133440140
1421c8120
1516296e4
hexf55cc0

16080064 has 112 divisors (see below), whose sum is σ = 43013376. Its totient is φ = 5760000.

The previous prime is 16080049. The next prime is 16080139. The reversal of 16080064 is 46008061.

16080064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63939 + ... + 64189.

It is an arithmetic number, because the mean of its divisors is an integer number (384048).

Almost surely, 216080064 is an apocalyptic number.

16080064 is a gapful number since it is divisible by the number (14) 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 16080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

16080064 is an abundant number, since it is smaller than the sum of its proper divisors (26933312).

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

16080064 is a wasteful number, since it uses less digits than its factorization.

16080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 16080064 is about 4009.9955112194. The cubic root of 16080064 is about 252.4038205072.

The spelling of 16080064 in words is "sixteen million, eighty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 143 154 176 182 208 224 251 286 308 352 364 416 448 502 572 616 704 728 832 1001 1004 1144 1232 1456 1757 2002 2008 2288 2464 2761 2912 3263 3514 4004 4016 4576 4928 5522 5824 6526 7028 8008 8032 9152 11044 13052 14056 16016 16064 19327 22088 22841 26104 28112 32032 35893 38654 44176 45682 52208 56224 64064 71786 77308 88352 91364 104416 112448 143572 154616 176704 182728 208832 251251 287144 309232 365456 502502 574288 618464 730912 1005004 1148576 1236928 1461824 2010008 2297152 4020016 8040032 16080064