Search a number
-
+
164663760 = 2435686099
BaseRepresentation
bin10011101000010…
…01000111010000
3102110211210012210
421310021013100
5314123220020
624201152120
74036422162
oct1164110720
9373753183
10164663760
1184a48358
124718b640
13281644a1
1417c24932
15e6c93e0
hex9d091d0

164663760 has 40 divisors (see below), whose sum is σ = 510458400. Its totient is φ = 43910272.

The previous prime is 164663753. The next prime is 164663771. The reversal of 164663760 is 67366461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1646637602 = 54228307714675200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342810 + ... + 343289.

It is an arithmetic number, because the mean of its divisors is an integer number (12761460).

Almost surely, 2164663760 is an apocalyptic number.

164663760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164663760 is an abundant number, since it is smaller than the sum of its proper divisors (345794640).

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

164663760 is a wasteful number, since it uses less digits than its factorization.

164663760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686115 (or 686109 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 164663760 is about 12832.1377798089. The cubic root of 164663760 is about 548.1078339306.

The spelling of 164663760 in words is "one hundred sixty-four million, six hundred sixty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 686099 1372198 2058297 2744396 3430495 4116594 5488792 6860990 8233188 10291485 10977584 13721980 16466376 20582970 27443960 32932752 41165940 54887920 82331880 164663760