Search a number
-
+
5003712 = 263271773
BaseRepresentation
bin10011000101100111000000
3100102012210200
4103011213000
52240104322
6255125200
760350040
oct23054700
910365720
105003712
1129083aa
121813800
13106269c
14943720
1568c8ac
hex4c59c0

5003712 has 168 divisors, whose sum is σ = 17593056. Its totient is φ = 1327104.

The previous prime is 5003711. The next prime is 5003717. The reversal of 5003712 is 2173005.

5003712 = T363 + T364 + ... + T426.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003711) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68508 + ... + 68580.

Almost surely, 25003712 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 5003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8796528).

5003712 is an abundant number, since it is smaller than the sum of its proper divisors (12589344).

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

5003712 is a wasteful number, since it uses less digits than its factorization.

5003712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 5003712 is about 2236.8978519369. The cubic root of 5003712 is about 171.0399004049.

Adding to 5003712 its reverse (2173005), we get a palindrome (7176717).

The spelling of 5003712 in words is "five million, three thousand, seven hundred twelve".