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32080104 = 233373433
BaseRepresentation
bin111101001100…
…0000011101000
32020100211122000
41322120003220
531203030404
63103331000
7536451000
oct172300350
966324560
1032080104
1117121291
12a8b0a60
136852a14
144391000
152c3a339
hex1e980e8

32080104 has 128 divisors (see below), whose sum is σ = 104160000. Its totient is φ = 9144576.

The previous prime is 32080079. The next prime is 32080109. The reversal of 32080104 is 40108023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (32080109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 73872 + ... + 74304.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 232080104 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 32080104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080000).

32080104 is an abundant number, since it is smaller than the sum of its proper divisors (72079896).

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

32080104 is a wasteful number, since it uses less digits than its factorization.

32080104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 32080104 is about 5663.9300843142. The cubic root of 32080104 is about 317.7449004335.

Adding to 32080104 its reverse (40108023), we get a palindrome (72188127).

The spelling of 32080104 in words is "thirty-two million, eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 84 98 108 126 147 168 189 196 216 252 294 343 378 392 433 441 504 588 686 756 866 882 1029 1176 1299 1323 1372 1512 1732 1764 2058 2598 2646 2744 3031 3087 3464 3528 3897 4116 5196 5292 6062 6174 7794 8232 9093 9261 10392 10584 11691 12124 12348 15588 18186 18522 21217 23382 24248 24696 27279 31176 36372 37044 42434 46764 54558 63651 72744 74088 81837 84868 93528 109116 127302 148519 163674 169736 190953 218232 254604 297038 327348 381906 445557 509208 572859 594076 654696 763812 891114 1145718 1188152 1336671 1527624 1782228 2291436 2673342 3564456 4010013 4582872 5346684 8020026 10693368 16040052 32080104