Search a number
-
+
162428112 = 243371119257
BaseRepresentation
bin10011010111001…
…11010011010000
3102022122012111000
421223213103100
5313040144422
624041222000
74011421230
oct1153472320
9368565430
10162428112
1183760710
1246491900
1327860a12
1417801cc0
15e3d6cac
hex9ae74d0

162428112 has 320 divisors, whose sum is σ = 614246400. Its totient is φ = 39813120.

The previous prime is 162428107. The next prime is 162428129. The reversal of 162428112 is 211824261.

162428112 is a `hidden beast` number, since 1 + 624 + 28 + 1 + 12 = 666.

162428112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631888 + ... + 632144.

It is an arithmetic number, because the mean of its divisors is an integer number (1919520).

Almost surely, 2162428112 is an apocalyptic number.

162428112 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 162428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307123200).

162428112 is an abundant number, since it is smaller than the sum of its proper divisors (451818288).

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

162428112 is a wasteful number, since it uses less digits than its factorization.

162428112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 162428112 is about 12744.7287927205. The cubic root of 162428112 is about 545.6159598649.

The spelling of 162428112 in words is "one hundred sixty-two million, four hundred twenty-eight thousand, one hundred twelve".