Search a number
-
+
162240138 = 233101151197
BaseRepresentation
bin10011010101110…
…01011010001010
3102022021122122000
421222321122022
5313013141023
624033211430
74010006214
oct1152713212
9368248560
10162240138
1183642465
1246400b76
13277c62a8
14177935b4
15e39b243
hex9ab968a

162240138 has 64 divisors (see below), whose sum is σ = 368375040. Its totient is φ = 52920000.

The previous prime is 162240121. The next prime is 162240139. The reversal of 162240138 is 831042261.

162240138 is a `hidden beast` number, since 1 + 622 + 4 + 0 + 1 + 38 = 666.

162240138 is digitally balanced in base 2, because in such base 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 not an unprimeable number, because it can be changed into a prime (162240139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 823456 + ... + 823652.

It is an arithmetic number, because the mean of its divisors is an integer number (5755860).

Almost surely, 2162240138 is an apocalyptic number.

162240138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 162240138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184187520).

162240138 is an abundant number, since it is smaller than the sum of its proper divisors (206134902).

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

162240138 is a wasteful number, since it uses less digits than its factorization.

162240138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 162240138 is about 12737.3520796122. The cubic root of 162240138 is about 545.4054027090.

Adding to 162240138 its reverse (831042261), we get a palindrome (993282399).

The spelling of 162240138 in words is "one hundred sixty-two million, two hundred forty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 101 151 197 202 302 303 394 453 591 606 906 909 1182 1359 1773 1818 2718 2727 3546 4077 5319 5454 8154 10638 15251 19897 29747 30502 39794 45753 59494 59691 89241 91506 119382 137259 178482 179073 267723 274518 358146 411777 535446 537219 803169 823554 1074438 1606338 3004447 6008894 9013341 18026682 27040023 54080046 81120069 162240138