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164000412 = 22325977213
BaseRepresentation
bin10011100011001…
…11001010011100
3102102121002021100
421301213022130
5313441003122
624135033100
74030660212
oct1161471234
9372532240
10164000412
1184634a34
1246b0b790
1327c91584
1417ad0cb2
15e5e7aac
hex9c6729c

164000412 has 36 divisors (see below), whose sum is σ = 421588440. Its totient is φ = 53739552.

The previous prime is 164000407. The next prime is 164000429. The reversal of 164000412 is 214000461.

164000412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1640004122 = 53792270272339488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36483 + ... + 40730.

It is an arithmetic number, because the mean of its divisors is an integer number (11710790).

Almost surely, 2164000412 is an apocalyptic number.

164000412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164000412 is an abundant number, since it is smaller than the sum of its proper divisors (257588028).

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

164000412 is a wasteful number, since it uses less digits than its factorization.

164000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77282 (or 77277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 164000412 is about 12806.2645607531. The cubic root of 164000412 is about 547.3708258465.

Adding to 164000412 its reverse (214000461), we get a palindrome (378000873).

The spelling of 164000412 in words is "one hundred sixty-four million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 77213 154426 231639 308852 463278 694917 926556 1389834 2779668 4555567 9111134 13666701 18222268 27333402 41000103 54666804 82000206 164000412