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16422016 = 271371139
BaseRepresentation
bin111110101001…
…010010000000
31010220022202211
4332221102000
513201001031
61343551504
7256404412
oct76512200
933808684
1016422016
1192a7116
1255bb594
13352c990
1422769b2
151695bb1
hexfa9480

16422016 has 64 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 7418880.

The previous prime is 16421963. The next prime is 16422019. The reversal of 16422016 is 61022461.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16422019) 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, 118075 + ... + 118213.

It is an arithmetic number, because the mean of its divisors is an integer number (562275).

Almost surely, 216422016 is an apocalyptic number.

16422016 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 16422016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

16422016 is an abundant number, since it is smaller than the sum of its proper divisors (19563584).

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

16422016 is a wasteful number, since it uses less digits than its factorization.

16422016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16422016 is about 4052.4086664600. The cubic root of 16422016 is about 254.1804574559.

Adding to 16422016 its reverse (61022461), we get a palindrome (77444477).

The spelling of 16422016 in words is "sixteen million, four hundred twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 139 142 208 278 284 416 556 568 832 923 1112 1136 1664 1807 1846 2224 2272 3614 3692 4448 4544 7228 7384 8896 9088 9869 14456 14768 17792 19738 28912 29536 39476 57824 59072 78952 115648 118144 128297 157904 231296 256594 315808 513188 631616 1026376 1263232 2052752 4105504 8211008 16422016