Search a number
-
+
164146827 = 31325692
BaseRepresentation
bin10011100100010…
…10111010001011
3102102212112010010
421302022322023
5314010144302
624142123003
74032140115
oct1162127213
9372775103
10164146827
1184724a39
1246b80463
1328013100
1417b2c3b5
15e62616c
hex9c8ae8b

164146827 has 18 divisors (see below), whose sum is σ = 237410292. Its totient is φ = 100835904.

The previous prime is 164146823. The next prime is 164146831. The reversal of 164146827 is 728641461.

164146827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164146823) and next prime (164146831).

It is not a de Polignac number, because 164146827 - 22 = 164146823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (164146823) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288199 + ... + 288767.

Almost surely, 2164146827 is an apocalyptic number.

164146827 is a deficient number, since it is larger than the sum of its proper divisors (73263465).

164146827 is an frugal number, since it uses more digits than its factorization.

164146827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 585 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 164146827 is about 12811.9798235870. The cubic root of 164146827 is about 547.5336698711.

The spelling of 164146827 in words is "one hundred sixty-four million, one hundred forty-six thousand, eight hundred twenty-seven".

Divisors: 1 3 13 39 169 507 569 1707 7397 22191 96161 288483 323761 971283 4208893 12626679 54715609 164146827