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531540000 = 2532542953
BaseRepresentation
bin11111101011101…
…010100000100000
31101001012000210200
4133223222200200
52042033240000
6124424425200
716113005205
oct3753524040
91331160720
10531540000
11253049962
1212a018200
1386179014
1450845cac
15319e8500
hex1faea820

531540000 has 180 divisors, whose sum is σ = 1889493606. Its totient is φ = 141696000.

The previous prime is 531539989. The next prime is 531540001. The reversal of 531540000 is 45135.

It can be written as a sum of positive squares in 5 ways, for example, as 40297104 + 491242896 = 6348^2 + 22164^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (531540001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 178524 + ... + 181476.

Almost surely, 2531540000 is an apocalyptic number.

531540000 is a gapful number since it is divisible by the number (50) 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 531540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944746803).

531540000 is an abundant number, since it is smaller than the sum of its proper divisors (1357953606).

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

531540000 is a wasteful number, since it uses less digits than its factorization.

531540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 531540000 is about 23055.1512682090. The cubic root of 531540000 is about 810.0502940879.

Adding to 531540000 its reverse (45135), we get a palindrome (531585135).

The spelling of 531540000 in words is "five hundred thirty-one million, five hundred forty thousand".