Search a number
-
+
16045168 = 242359739
BaseRepresentation
bin111101001101…
…010001110000
31010012011211111
4331031101300
513101421133
61331523104
7253244626
oct75152160
933164744
1016045168
119069a77
125459494
13342a2a9
1421b9516
15161e1cd
hexf4d470

16045168 has 40 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 7533504.

The previous prime is 16045157. The next prime is 16045199. The reversal of 16045168 is 86154061.

16045168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160451682 = 514894832296448, 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 7 ways as a sum of consecutive naturals, for example, 21343 + ... + 22081.

It is an arithmetic number, because the mean of its divisors is an integer number (825840).

Almost surely, 216045168 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 16045168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516800).

16045168 is an abundant number, since it is smaller than the sum of its proper divisors (16988432).

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

16045168 is a wasteful number, since it uses less digits than its factorization.

16045168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 16045168 is about 4005.6420209500. The cubic root of 16045168 is about 252.2211043426.

The spelling of 16045168 in words is "sixteen million, forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 59 92 118 184 236 368 472 739 944 1357 1478 2714 2956 5428 5912 10856 11824 16997 21712 33994 43601 67988 87202 135976 174404 271952 348808 697616 1002823 2005646 4011292 8022584 16045168