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5105600 = 26523191
BaseRepresentation
bin10011011110011111000000
3100121101120022
4103132133000
52301334400
6301233012
761253063
oct23363700
910541508
105105600
112977a05
121862768
131099b86
1496c8da
156acb85
hex4de7c0

5105600 has 42 divisors (see below), whose sum is σ = 12566904. Its totient is φ = 2041600.

The previous prime is 5105587. The next prime is 5105629. The reversal of 5105600 is 65015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5 + ... + 3195.

It is an arithmetic number, because the mean of its divisors is an integer number (299212).

Almost surely, 25105600 is an apocalyptic number.

5105600 is a gapful number since it is divisible by the number (50) 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 5105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6283452).

5105600 is an abundant number, since it is smaller than the sum of its proper divisors (7461304).

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

5105600 is a wasteful number, since it uses less digits than its factorization.

5105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 5105600 is about 2259.5574787998. The cubic root of 5105600 is about 172.1930408800.

The spelling of 5105600 in words is "five million, one hundred five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3191 6382 12764 15955 25528 31910 51056 63820 79775 102112 127640 159550 204224 255280 319100 510560 638200 1021120 1276400 2552800 5105600