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5687640 = 2332573761
BaseRepresentation
bin10101101100100101011000
3101200221222100
4111230211120
52424001030
6321523400
766226020
oct25544530
911627870
105687640
113235232
121aa3560
131241a8a
14a80a80
15775360
hex56c958

5687640 has 192 divisors, whose sum is σ = 22052160. Its totient is φ = 1244160.

The previous prime is 5687609. The next prime is 5687651. The reversal of 5687640 is 467865.

It is a happy number.

5687640 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 640 = 666.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5687595 and 5687604.

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 47 ways as a sum of consecutive naturals, for example, 93210 + ... + 93270.

It is an arithmetic number, because the mean of its divisors is an integer number (114855).

Almost surely, 25687640 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 5687640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11026080).

5687640 is an abundant number, since it is smaller than the sum of its proper divisors (16364520).

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

5687640 is a wasteful number, since it uses less digits than its factorization.

5687640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5687640 is about 2384.8773553372. The cubic root of 5687640 is about 178.5023891590.

The spelling of 5687640 in words is "five million, six hundred eighty-seven thousand, six hundred forty".