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5105856 = 263729131
BaseRepresentation
bin10011011110100011000000
3100121101220210
4103132203000
52301341411
6301234120
761253610
oct23364300
910541823
105105856
112978118
121862940
13109a022
1496ca40
156acca6
hex4de8c0

5105856 has 112 divisors (see below), whose sum is σ = 16093440. Its totient is φ = 1397760.

The previous prime is 5105843. The next prime is 5105857. The reversal of 5105856 is 6585015.

It is a happy number.

5105856 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38911 + ... + 39041.

Almost surely, 25105856 is an apocalyptic number.

5105856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046720).

5105856 is an abundant number, since it is smaller than the sum of its proper divisors (10987584).

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

5105856 is a wasteful number, since it uses less digits than its factorization.

5105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 5105856 is about 2259.6141263499. The cubic root of 5105856 is about 172.1959188102.

The spelling of 5105856 in words is "five million, one hundred five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 131 168 174 192 203 224 232 262 336 348 393 406 448 464 524 609 672 696 786 812 917 928 1048 1218 1344 1392 1572 1624 1834 1856 2096 2436 2751 2784 3144 3248 3668 3799 4192 4872 5502 5568 6288 6496 7336 7598 8384 9744 11004 11397 12576 12992 14672 15196 19488 22008 22794 25152 26593 29344 30392 38976 44016 45588 53186 58688 60784 79779 88032 91176 106372 121568 159558 176064 182352 212744 243136 319116 364704 425488 638232 729408 850976 1276464 1701952 2552928 5105856