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164113308 = 2232172291171
BaseRepresentation
bin10011100100000…
…10101110011100
3102102210211010200
421302002232130
5314003111213
624141303500
74031640312
oct1162025634
9372724120
10164113308
1184701837
1246b64b90
1328000a88
1417b200b2
15e61b273
hex9c82b9c

164113308 has 72 divisors (see below), whose sum is σ = 441539280. Its totient is φ = 51217920.

The previous prime is 164113249. The next prime is 164113309. The reversal of 164113308 is 803311461.

164113308 is a `hidden beast` number, since 1 + 641 + 13 + 3 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164113309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139563 + ... + 140733.

It is an arithmetic number, because the mean of its divisors is an integer number (6132490).

Almost surely, 2164113308 is an apocalyptic number.

164113308 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164113308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220769640).

164113308 is an abundant number, since it is smaller than the sum of its proper divisors (277425972).

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

164113308 is a wasteful number, since it uses less digits than its factorization.

164113308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 164113308 is about 12810.6716451558. The cubic root of 164113308 is about 547.4963982999.

Adding to 164113308 its reverse (803311461), we get a palindrome (967424769).

The spelling of 164113308 in words is "one hundred sixty-four million, one hundred thirteen thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 229 306 458 612 687 916 1171 1374 2061 2342 2748 3513 3893 4122 4684 7026 7786 8244 10539 11679 14052 15572 19907 21078 23358 35037 39814 42156 46716 59721 70074 79628 119442 140148 179163 238884 268159 358326 536318 716652 804477 1072636 1608954 2413431 3217908 4558703 4826862 9117406 9653724 13676109 18234812 27352218 41028327 54704436 82056654 164113308