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5106560 = 27579101
BaseRepresentation
bin10011011110101110000000
3100121102212212
4103132232000
52301402220
6301241252
761255634
oct23365600
910542785
105106560
1129786a8
121863228
13109a444
1496cdc4
156ad0c5
hex4deb80

5106560 has 64 divisors (see below), whose sum is σ = 12484800. Its totient is φ = 1996800.

The previous prime is 5106559. The next prime is 5106571. The reversal of 5106560 is 656015.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 50510 + ... + 50610.

It is an arithmetic number, because the mean of its divisors is an integer number (195075).

Almost surely, 25106560 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 5106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242400).

5106560 is an abundant number, since it is smaller than the sum of its proper divisors (7378240).

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

5106560 is a wasteful number, since it uses less digits than its factorization.

5106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5106560 is about 2259.7698997907. The cubic root of 5106560 is about 172.2038326223.

The spelling of 5106560 in words is "five million, one hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 101 128 158 160 202 316 320 395 404 505 632 640 790 808 1010 1264 1580 1616 2020 2528 3160 3232 4040 5056 6320 6464 7979 8080 10112 12640 12928 15958 16160 25280 31916 32320 39895 50560 63832 64640 79790 127664 159580 255328 319160 510656 638320 1021312 1276640 2553280 5106560