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32680164 = 22311271317
BaseRepresentation
bin111110010101…
…0100011100100
32021111022202110
41330222203210
531331231124
63124241020
7544530306
oct174524344
967438673
1032680164
11174a1100
12ab40170
136a02b9a
1444a9976
152d08029
hex1f2a8e4

32680164 has 72 divisors (see below), whose sum is σ = 85264704. Its totient is φ = 9732800.

The previous prime is 32680163. The next prime is 32680199. The reversal of 32680164 is 46108623.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (32680163) 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, 102934 + ... + 103250.

It is an arithmetic number, because the mean of its divisors is an integer number (1184232).

Almost surely, 232680164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32680164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42632352).

32680164 is an abundant number, since it is smaller than the sum of its proper divisors (52584540).

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

32680164 is a wasteful number, since it uses less digits than its factorization.

32680164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 32680164 is about 5716.6567152489. The cubic root of 32680164 is about 319.7138196622.

Adding to 32680164 its reverse (46108623), we get a palindrome (78788787).

The spelling of 32680164 in words is "thirty-two million, six hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 317 363 426 484 634 726 781 852 951 1268 1452 1562 1902 2343 3124 3487 3804 4686 6974 8591 9372 10461 13948 17182 20922 22507 25773 34364 38357 41844 45014 51546 67521 76714 90028 103092 115071 135042 153428 230142 247577 270084 460284 495154 742731 990308 1485462 2723347 2970924 5446694 8170041 10893388 16340082 32680164