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56006104 = 23711235967
BaseRepresentation
bin1101010110100…
…1010111011000
310220101101221011
43111221113120
5103314143404
65320223304
71250021050
oct325512730
9126341834
1056006104
1129683240
121690ab34
13b7ac10b
14761c560
154db4604
hex35695d8

56006104 has 128 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 20211840.

The previous prime is 56006099. The next prime is 56006141. The reversal of 56006104 is 40160065.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835879 + ... + 835945.

It is an arithmetic number, because the mean of its divisors is an integer number (1101600).

Almost surely, 256006104 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 56006104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

56006104 is an abundant number, since it is smaller than the sum of its proper divisors (84998696).

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

56006104 is a wasteful number, since it uses less digits than its factorization.

56006104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 56006104 is about 7483.7226030900. The cubic root of 56006104 is about 382.6001366827.

Adding to 56006104 its reverse (40160065), we get a palindrome (96166169).

The spelling of 56006104 in words is "fifty-six million, six thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 22 23 28 44 46 56 59 67 77 88 92 118 134 154 161 184 236 253 268 308 322 413 469 472 506 536 616 644 649 737 826 938 1012 1288 1298 1357 1474 1541 1652 1771 1876 2024 2596 2714 2948 3082 3304 3542 3752 3953 4543 5159 5192 5428 5896 6164 7084 7906 9086 9499 10318 10787 10856 12328 14168 14927 15812 16951 18172 18998 20636 21574 27671 29854 31624 33902 36344 37996 41272 43148 43483 55342 59708 67804 75992 86296 86966 90919 104489 110684 118657 119416 135608 173932 181838 208978 221368 237314 304381 347864 363676 417956 474628 608762 636433 727352 835912 949256 1000109 1217524 1272866 2000218 2435048 2545732 4000436 5091464 7000763 8000872 14001526 28003052 56006104