Search a number
-
+
162068480 = 2115721719
BaseRepresentation
bin10011010100011…
…11100000000000
3102021221221011022
421222033200000
5312442142410
624025405012
74005362600
oct1152174000
9367857138
10162068480
11835354a2
1246339768
1327766112
141774ac00
15e365455
hex9a8f800

162068480 has 288 divisors, whose sum is σ = 504176400. Its totient is φ = 49545216.

The previous prime is 162068477. The next prime is 162068483. The reversal of 162068480 is 84860261.

It is an interprime number because it is at equal distance from previous prime (162068477) and next prime (162068483).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 162068480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162068483) 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, 8529911 + ... + 8529929.

Almost surely, 2162068480 is an apocalyptic number.

162068480 is a gapful number since it is divisible by the number (10) 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 162068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252088200).

162068480 is an abundant number, since it is smaller than the sum of its proper divisors (342107920).

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

162068480 is a wasteful number, since it uses less digits than its factorization.

162068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 162068480 is about 12730.6119255910. The cubic root of 162068480 is about 545.2129796327.

The spelling of 162068480 in words is "one hundred sixty-two million, sixty-eight thousand, four hundred eighty".