Search a number
-
+
32081368 = 23113759167
BaseRepresentation
bin111101001100…
…0010111011000
32020100220100211
41322120113120
531203100433
63103340504
7536454454
oct172302730
966326324
1032081368
1117122230
12a8b1734
136853477
144391664
152c3a8cd
hex1e985d8

32081368 has 64 divisors (see below), whose sum is σ = 68947200. Its totient is φ = 13864320.

The previous prime is 32081353. The next prime is 32081369. The reversal of 32081368 is 86318023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32081369) 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 15 ways as a sum of consecutive naturals, for example, 192021 + ... + 192187.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 232081368 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 32081368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34473600).

32081368 is an abundant number, since it is smaller than the sum of its proper divisors (36865832).

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

32081368 is a wasteful number, since it uses less digits than its factorization.

32081368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 32081368 is about 5664.0416665134. The cubic root of 32081368 is about 317.7490735733.

The spelling of 32081368 in words is "thirty-two million, eighty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 11 22 37 44 59 74 88 118 148 167 236 296 334 407 472 649 668 814 1298 1336 1628 1837 2183 2596 3256 3674 4366 5192 6179 7348 8732 9853 12358 14696 17464 19706 24013 24716 39412 48026 49432 67969 78824 96052 108383 135938 192104 216766 271876 364561 433532 543752 729122 867064 1458244 2916488 4010171 8020342 16040684 32081368