Search a number
-
+
531872640 = 27325137103
BaseRepresentation
bin11111101100111…
…011101110000000
31101001210221002200
4133230323232000
52042124411030
6124435513200
716115562045
oct3754735600
91331727080
10531872640
11253256872
1212a158800
1386264550
14508d11cc
1531a61d60
hex1fb3bb80

531872640 has 192 divisors, whose sum is σ = 1978179840. Its totient is φ = 130904064.

The previous prime is 531872597. The next prime is 531872651. The reversal of 531872640 is 46278135.

531872640 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 7 + 2 + 640 = 666.

531872640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 531872595 and 531872604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71329 + ... + 78431.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2531872640 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 531872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989089920).

531872640 is an abundant number, since it is smaller than the sum of its proper divisors (1446307200).

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

531872640 is a wasteful number, since it uses less digits than its factorization.

531872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7141 (or 7126 counting only the distinct ones).

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

The square root of 531872640 is about 23062.3641459413. The cubic root of 531872640 is about 810.2192364946.

The spelling of 531872640 in words is "five hundred thirty-one million, eight hundred seventy-two thousand, six hundred forty".