Search a number
-
+
16066944 = 27334649
BaseRepresentation
bin111101010010…
…100110000000
31010020021201000
4331102212000
513103120234
61332212000
7253365255
oct75224600
933207630
1016066944
119084373
12546a000
13343718a
1421c342c
151625899
hexf52980

16066944 has 64 divisors (see below), whose sum is σ = 47430000. Its totient is φ = 5354496.

The previous prime is 16066943. The next prime is 16067033. The reversal of 16066944 is 44966061.

16066944 is a `hidden beast` number, since 1 + 606 + 6 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16066899 and 16066908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16066943) 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, 1132 + ... + 5780.

Almost surely, 216066944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23715000).

16066944 is an abundant number, since it is smaller than the sum of its proper divisors (31363056).

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

16066944 is an equidigital number, since it uses as much as digits as its factorization.

16066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4654 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16066944 is about 4008.3592653354. The cubic root of 16066944 is about 252.3351549600.

The spelling of 16066944 in words is "sixteen million, sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 4649 9298 13947 18596 27894 37192 41841 55788 74384 83682 111576 125523 148768 167364 223152 251046 297536 334728 446304 502092 595072 669456 892608 1004184 1338912 1785216 2008368 2677824 4016736 5355648 8033472 16066944