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5107072 = 27172347
BaseRepresentation
bin10011011110110110000000
3100121110120211
4103132312000
52301411242
6301243504
761260265
oct23366600
910543524
105107072
112979023
121863594
13109a749
1496d26c
156ad317
hex4ded80

5107072 has 32 divisors (see below), whose sum is σ = 10777320. Its totient is φ = 2402304.

The previous prime is 5107061. The next prime is 5107079. The reversal of 5107072 is 2707015.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5107079) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1003 + ... + 3349.

Almost surely, 25107072 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 5107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388660).

5107072 is an abundant number, since it is smaller than the sum of its proper divisors (5670248).

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

5107072 is a wasteful number, since it uses less digits than its factorization.

5107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 5107072 is about 2259.8831828216. The cubic root of 5107072 is about 172.2095876653.

The spelling of 5107072 in words is "five million, one hundred seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 2347 4694 9388 18776 37552 39899 75104 79798 150208 159596 300416 319192 638384 1276768 2553536 5107072