Search a number
-
+
164096416 = 2511466183
BaseRepresentation
bin10011100011111…
…10100110100000
3102102202221222001
421301332212200
5314002041131
624141053344
74031540131
oct1161764640
9372687861
10164096416
11846a0080
1246b57254
1327cc6193
1417b17c88
15e616261
hex9c7e9a0

164096416 has 24 divisors (see below), whose sum is σ = 352435104. Its totient is φ = 74589120.

The previous prime is 164096399. The next prime is 164096441. The reversal of 164096416 is 614690461.

164096416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 232740 + ... + 233443.

It is an arithmetic number, because the mean of its divisors is an integer number (14684796).

Almost surely, 2164096416 is an apocalyptic number.

164096416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164096416 is an abundant number, since it is smaller than the sum of its proper divisors (188338688).

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

164096416 is a wasteful number, since it uses less digits than its factorization.

164096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466204 (or 466196 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 164096416 is about 12810.0123341080. The cubic root of 164096416 is about 547.4776132573.

The spelling of 164096416 in words is "one hundred sixty-four million, ninety-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 466183 932366 1864732 3729464 5128013 7458928 10256026 14917856 20512052 41024104 82048208 164096416