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16086080 = 265172957
BaseRepresentation
bin111101010111…
…010001000000
31010021020221202
4331113101000
513104223310
61332440332
7253505123
oct75272100
933236852
1016086080
11909778a
1254790a8
133442aba
1421ca3ba
15162b3a5
hexf57440

16086080 has 56 divisors (see below), whose sum is σ = 40571928. Its totient is φ = 6053888.

The previous prime is 16086073. The next prime is 16086089. The reversal of 16086080 is 8068061.

It can be written as a sum of positive squares in 4 ways, for example, as 1401856 + 14684224 = 1184^2 + 3832^2 .

It is not an unprimeable number, because it can be changed into a prime (16086089) by changing a digit.

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, 3962 + ... + 6918.

Almost surely, 216086080 is an apocalyptic number.

16086080 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 16086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20285964).

16086080 is an abundant number, since it is smaller than the sum of its proper divisors (24485848).

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

16086080 is a wasteful number, since it uses less digits than its factorization.

16086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 16086080 is about 4010.7455665998. The cubic root of 16086080 is about 252.4352936833.

The spelling of 16086080 in words is "sixteen million, eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 2957 5440 5914 11828 14785 23656 29570 47312 50269 59140 94624 100538 118280 189248 201076 236560 251345 402152 473120 502690 804304 946240 1005380 1608608 2010760 3217216 4021520 8043040 16086080