Search a number
-
+
16068960 = 2532511159
BaseRepresentation
bin111101010011…
…000101100000
31010020101110200
4331103011200
513103201320
61332225200
7253404165
oct75230540
933211420
1016068960
119085936
12546b200
13343807b
1421c406c
151626290
hexf53160

16068960 has 72 divisors (see below), whose sum is σ = 54840240. Its totient is φ = 4284672.

The previous prime is 16068959. The next prime is 16068991. The reversal of 16068960 is 6986061.

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

It is a super-2 number, since 2×160689602 = 516422950963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4140 + ... + 7019.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 216068960 is an apocalyptic number.

16068960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16068960 is an abundant number, since it is smaller than the sum of its proper divisors (38771280).

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

16068960 is a wasteful number, since it uses less digits than its factorization.

16068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11180 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 16068960 is about 4008.6107319120. The cubic root of 16068960 is about 252.3457084375.

The spelling of 16068960 in words is "sixteen million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 11159 22318 33477 44636 55795 66954 89272 100431 111590 133908 167385 178544 200862 223180 267816 334770 357088 401724 446360 502155 535632 669540 803448 892720 1004310 1071264 1339080 1606896 1785440 2008620 2678160 3213792 4017240 5356320 8034480 16068960