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16163968 = 27373413
BaseRepresentation
bin111101101010…
…010010000000
31010102012210111
4331222102000
513114221333
61334241104
7254251162
oct75522200
933365714
1016163968
119140257
1254b6194
13346c3a2
14220a932
1516444cd
hexf6a480

16163968 has 32 divisors (see below), whose sum is σ = 33081660. Its totient is φ = 7861248.

The previous prime is 16163929. The next prime is 16163969. The reversal of 16163968 is 86936161.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 3717184 = 3528^2 + 1928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×161639682 = 522547723010048, which contains 22 as substring.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 16163968.

It is not an unprimeable number, because it can be changed into a prime (16163969) 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, 3030 + ... + 6442.

Almost surely, 216163968 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 16163968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16540830).

16163968 is an abundant number, since it is smaller than the sum of its proper divisors (16917692).

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

16163968 is an equidigital number, since it uses as much as digits as its factorization.

16163968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3464 (or 3452 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 16163968 is about 4020.4437566020. The cubic root of 16163968 is about 252.8420642497.

The spelling of 16163968 in words is "sixteen million, one hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 3413 4736 6826 13652 27304 54608 109216 126281 218432 252562 436864 505124 1010248 2020496 4040992 8081984 16163968