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104024032 = 2572361331
BaseRepresentation
bin1100011001101…
…00011111100000
321020201222010221
412030310133200
5203112232112
614153332424
72402122030
oct614643740
9236658127
10104024032
115379a882
122aa07114
13187222a8
14db5b8c0
1591ebe07
hex63347e0

104024032 has 96 divisors (see below), whose sum is σ = 248984064. Its totient is φ = 41817600.

The previous prime is 104024029. The next prime is 104024047. The reversal of 104024032 is 230420401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 104023997 and 104024015.

It is a congruent number.

It is an unprimeable number.

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, 314107 + ... + 314437.

It is an arithmetic number, because the mean of its divisors is an integer number (2593584).

Almost surely, 2104024032 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 104024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124492032).

104024032 is an abundant number, since it is smaller than the sum of its proper divisors (144960032).

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

104024032 is a wasteful number, since it uses less digits than its factorization.

104024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104024032 is about 10199.2172248658. The cubic root of 104024032 is about 470.3031573668.

Adding to 104024032 its reverse (230420401), we get a palindrome (334444433).

The spelling of 104024032 in words is "one hundred four million, twenty-four thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 61 92 112 122 161 184 224 244 322 331 368 427 488 644 662 736 854 976 1288 1324 1403 1708 1952 2317 2576 2648 2806 3416 4634 5152 5296 5612 6832 7613 9268 9821 10592 11224 13664 15226 18536 19642 20191 22448 30452 37072 39284 40382 44896 53291 60904 74144 78568 80764 106582 121808 141337 157136 161528 213164 243616 282674 314272 323056 426328 464393 565348 646112 852656 928786 1130696 1705312 1857572 2261392 3250751 3715144 4522784 6501502 7430288 13003004 14860576 26006008 52012016 104024032