Search a number
-
+
164193966 = 2342773659
BaseRepresentation
bin10011100100101…
…10011010101110
3102102221220210000
421302112122232
5314013201331
624143125130
74032424416
oct1162263256
9372856700
10164193966
11847573a2
1246ba37a6
132802b6c1
1417b41646
15e6350e6
hex9c966ae

164193966 has 40 divisors (see below), whose sum is σ = 369345240. Its totient is φ = 54518832.

The previous prime is 164193943. The next prime is 164193979. The reversal of 164193966 is 669391461.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43045 + ... + 46703.

It is an arithmetic number, because the mean of its divisors is an integer number (9233631).

Almost surely, 2164193966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164193966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672620).

164193966 is an abundant number, since it is smaller than the sum of its proper divisors (205151274).

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

164193966 is a wasteful number, since it uses less digits than its factorization.

164193966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3950 (or 3941 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 164193966 is about 12813.8193369502. The cubic root of 164193966 is about 547.5860776653.

The spelling of 164193966 in words is "one hundred sixty-four million, one hundred ninety-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 277 554 831 1662 2493 3659 4986 7318 7479 10977 14958 21954 22437 32931 44874 65862 98793 197586 296379 592758 1013543 2027086 3040629 6081258 9121887 18243774 27365661 54731322 82096983 164193966