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5107872 = 253711691
BaseRepresentation
bin10011011111000010100000
3100121111200110
4103133002200
52301422442
6301251320
761262520
oct23370240
910544613
105107872
112979690
121863b40
13109ac13
1496d680
156ad69c
hex4df0a0

5107872 has 96 divisors (see below), whose sum is σ = 16740864. Its totient is φ = 1324800.

The previous prime is 5107831. The next prime is 5107891. The reversal of 5107872 is 2787015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7047 + ... + 7737.

It is an arithmetic number, because the mean of its divisors is an integer number (174384).

Almost surely, 25107872 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 5107872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8370432).

5107872 is an abundant number, since it is smaller than the sum of its proper divisors (11632992).

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

5107872 is a wasteful number, since it uses less digits than its factorization.

5107872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 5107872 is about 2260.0601761900. The cubic root of 5107872 is about 172.2185791498.

The spelling of 5107872 in words is "five million, one hundred seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 691 924 1056 1232 1382 1848 2073 2464 2764 3696 4146 4837 5528 7392 7601 8292 9674 11056 14511 15202 16584 19348 22112 22803 29022 30404 33168 38696 45606 53207 58044 60808 66336 77392 91212 106414 116088 121616 154784 159621 182424 212828 232176 243232 319242 364848 425656 464352 638484 729696 851312 1276968 1702624 2553936 5107872