Search a number
-
+
162071064 = 2333171923101
BaseRepresentation
bin10011010100100…
…00001000011000
3102021222001201000
421222100020120
5312442233224
624025425000
74005403251
oct1152201030
9367861630
10162071064
1183537431
124633b160
132776734c
141774bb28
15e3660c9
hex9a90218

162071064 has 256 divisors, whose sum is σ = 528768000. Its totient is φ = 45619200.

The previous prime is 162071059. The next prime is 162071093. The reversal of 162071064 is 460170261.

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

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, 1604614 + ... + 1604714.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2162071064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162071064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

162071064 is an abundant number, since it is smaller than the sum of its proper divisors (366696936).

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

162071064 is a wasteful number, since it uses less digits than its factorization.

162071064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 162071064 is about 12730.7134128453. The cubic root of 162071064 is about 545.2158772203.

It can be divided in two parts, 16207 and 1064, that added together give a palindrome (17271).

The spelling of 162071064 in words is "one hundred sixty-two million, seventy-one thousand, sixty-four".