Search a number
-
+
16068132 = 223561271
BaseRepresentation
bin111101010010…
…111000100100
31010020100100000
4331102320210
513103140012
61332221300
7253401603
oct75227044
933210300
1016068132
119085253
12546a830
133437892
1421c3a3a
151625ddc
hexf52e24

16068132 has 72 divisors (see below), whose sum is σ = 42969472. Its totient is φ = 5248800.

The previous prime is 16068131. The next prime is 16068133. The reversal of 16068132 is 23186061.

16068132 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 an interprime number because it is at equal distance from previous prime (16068131) and next prime (16068133).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 16068096 and 16068105.

It is not an unprimeable number, because it can be changed into a prime (16068131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59157 + ... + 59427.

Almost surely, 216068132 is an apocalyptic number.

16068132 is a gapful number since it is divisible by the number (12) 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 16068132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484736).

16068132 is an abundant number, since it is smaller than the sum of its proper divisors (26901340).

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

16068132 is a wasteful number, since it uses less digits than its factorization.

16068132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16068132 is about 4008.5074529056. The cubic root of 16068132 is about 252.3413740804.

The spelling of 16068132 in words is "sixteen million, sixty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 243 244 271 324 366 486 542 549 732 813 972 1084 1098 1626 1647 2196 2439 3252 3294 4878 4941 6588 7317 9756 9882 14634 14823 16531 19764 21951 29268 29646 33062 43902 49593 59292 65853 66124 87804 99186 131706 148779 198372 263412 297558 446337 595116 892674 1339011 1785348 2678022 4017033 5356044 8034066 16068132