Search a number
-
+
164160381 = 37111722459
BaseRepresentation
bin10011100100011…
…10001101111101
3102102220012201010
421302032031331
5314011113011
624142305433
74032224460
oct1162161575
9372805633
10164160381
1184734140
1246b88279
1328019328
1417b332d7
15e62a1a6
hex9c8e37d

164160381 has 48 divisors (see below), whose sum is σ = 290004480. Its totient is φ = 80229120.

The previous prime is 164160377. The next prime is 164160389. The reversal of 164160381 is 183061461.

It is not a de Polignac number, because 164160381 - 22 = 164160377 is a prime.

It is a super-2 number, since 2×1641603812 = 53897261380130322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164160389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65530 + ... + 67988.

It is an arithmetic number, because the mean of its divisors is an integer number (6041760).

Almost surely, 2164160381 is an apocalyptic number.

164160381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164160381 is a deficient number, since it is larger than the sum of its proper divisors (125844099).

164160381 is a wasteful number, since it uses less digits than its factorization.

164160381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 164160381 is about 12812.5087707287. The cubic root of 164160381 is about 547.5487398489.

The spelling of 164160381 in words is "one hundred sixty-four million, one hundred sixty thousand, three hundred eighty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 187 231 289 357 561 867 1309 2023 2459 3179 3927 6069 7377 9537 17213 22253 27049 41803 51639 66759 81147 125409 189343 292621 459833 568029 710651 877863 1379499 2131953 3218831 4974557 7817161 9656493 14923671 23451483 54720127 164160381