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16662016 = 2974649
BaseRepresentation
bin111111100011…
…111000000000
31011100111222201
4333203320000
513231141031
61353042544
7261424210
oct77437000
934314881
1016662016
119450468
1256b6454
1335b4ca7
1422da240
1516e1d61
hexfe3e00

16662016 has 40 divisors (see below), whose sum is σ = 38055600. Its totient is φ = 7139328.

The previous prime is 16662011. The next prime is 16662043. The reversal of 16662016 is 61026661.

16662016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16662011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1260 + ... + 5908.

It is an arithmetic number, because the mean of its divisors is an integer number (951390).

Almost surely, 216662016 is an apocalyptic number.

16662016 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 16662016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027800).

16662016 is an abundant number, since it is smaller than the sum of its proper divisors (21393584).

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

16662016 is an frugal number, since it uses more digits than its factorization.

16662016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 16662016 is about 4081.9132768838. The cubic root of 16662016 is about 255.4127162560.

Adding to 16662016 its reverse (61026661), we get a palindrome (77688677).

The spelling of 16662016 in words is "sixteen million, six hundred sixty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 4649 9298 18596 32543 37192 65086 74384 130172 148768 260344 297536 520688 595072 1041376 1190144 2082752 2380288 4165504 8331008 16662016