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16159968 = 2532115101
BaseRepresentation
bin111101101001…
…010011100000
31010102000022100
4331221103200
513114104333
61334210400
7254233416
oct75512340
933360270
1016159968
119138250
1254b3a00
13346a616
1422092b6
151643213
hexf694e0

16159968 has 72 divisors (see below), whose sum is σ = 50142456. Its totient is φ = 4896000.

The previous prime is 16159951. The next prime is 16159973. The reversal of 16159968 is 86995161.

16159968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×161599682 = 522289131522048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618 + ... + 5718.

It is an arithmetic number, because the mean of its divisors is an integer number (696423).

Almost surely, 216159968 is an apocalyptic number.

16159968 is a gapful number since it is divisible by the number (18) 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 16159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25071228).

16159968 is an abundant number, since it is smaller than the sum of its proper divisors (33982488).

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

16159968 is a wasteful number, since it uses less digits than its factorization.

16159968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5128 (or 5117 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 16159968 is about 4019.9462682976. The cubic root of 16159968 is about 252.8212060937.

The spelling of 16159968 in words is "sixteen million, one hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 5101 10202 15303 20404 30606 40808 45909 56111 61212 81616 91818 112222 122424 163232 168333 183636 224444 244848 336666 367272 448888 489696 504999 673332 734544 897776 1009998 1346664 1469088 1795552 2019996 2693328 4039992 5386656 8079984 16159968