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16066000 = 245329277
BaseRepresentation
bin111101010010…
…010111010000
31010020020102001
4331102113100
513103103000
61332203344
7253362436
oct75222720
933206361
1016066000
119083695
125469554
133436912
1421c2d56
15162546a
hexf525d0

16066000 has 80 divisors (see below), whose sum is σ = 40332240. Its totient is φ = 6182400.

The previous prime is 16065979. The next prime is 16066009. The reversal of 16066000 is 66061.

It is a happy number.

16066000 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 8 ways, for example, as 7817616 + 8248384 = 2796^2 + 2872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16066009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57862 + ... + 58138.

It is an arithmetic number, because the mean of its divisors is an integer number (504153).

Almost surely, 216066000 is an apocalyptic number.

16066000 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 16066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20166120).

16066000 is an abundant number, since it is smaller than the sum of its proper divisors (24266240).

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

16066000 is a wasteful number, since it uses less digits than its factorization.

16066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 16066000 is about 4008.2415096898. The cubic root of 16066000 is about 252.3302129488.

The spelling of 16066000 in words is "sixteen million, sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 277 290 400 464 500 554 580 725 1000 1108 1160 1385 1450 2000 2216 2320 2770 2900 3625 4432 5540 5800 6925 7250 8033 11080 11600 13850 14500 16066 22160 27700 29000 32132 34625 40165 55400 58000 64264 69250 80330 110800 128528 138500 160660 200825 277000 321320 401650 554000 642640 803300 1004125 1606600 2008250 3213200 4016500 8033000 16066000