Search a number
-
+
5687136 = 2532721331
BaseRepresentation
bin10101101100011101100000
3101200221021200
4111230131200
52423442021
6321521200
766224400
oct25543540
911627250
105687136
113234914
121aa3200
131241790
14a80800
15775126
hex56c760

5687136 has 216 divisors, whose sum is σ = 20913984. Its totient is φ = 1451520.

The previous prime is 5687119. The next prime is 5687179. The reversal of 5687136 is 6317865.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (30240) is a multiple of the sum of its prime divisors (56).

It is a zygodrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 5687136.

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 35 ways as a sum of consecutive naturals, for example, 183441 + ... + 183471.

It is an arithmetic number, because the mean of its divisors is an integer number (96824).

Almost surely, 25687136 is an apocalyptic number.

5687136 is a gapful number since it is divisible by the number (56) 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 5687136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

5687136 is an abundant number, since it is smaller than the sum of its proper divisors (15226848).

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

5687136 is a wasteful number, since it uses less digits than its factorization.

5687136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 56 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5687136 is about 2384.7716871852. The cubic root of 5687136 is about 178.4971164471.

The spelling of 5687136 in words is "five million, six hundred eighty-seven thousand, one hundred thirty-six".