Search a number
-
+
164060032 = 271399221
BaseRepresentation
bin10011100011101…
…01101110000000
3102102201010001111
421301311232000
5313444410112
624140213104
74031326063
oct1161655600
9372633044
10164060032
1184675804
1246b3a194
1327cb2756
1417b088da
15e60a5a7
hex9c75b80

164060032 has 32 divisors (see below), whose sum is σ = 329225400. Its totient is φ = 81431040.

The previous prime is 164060009. The next prime is 164060051. The reversal of 164060032 is 230060461.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 164059985 and 164060012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13182 + ... + 22402.

Almost surely, 2164060032 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 164060032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164612700).

164060032 is an abundant number, since it is smaller than the sum of its proper divisors (165165368).

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

164060032 is an equidigital number, since it uses as much as digits as its factorization.

164060032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 164060032 is about 12808.5921162320. The cubic root of 164060032 is about 547.4371474174.

The spelling of 164060032 in words is "one hundred sixty-four million, sixty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 9221 17792 18442 36884 73768 147536 295072 590144 1180288 1281719 2563438 5126876 10253752 20507504 41015008 82030016 164060032