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531671040 = 211345641
BaseRepresentation
bin11111101100001…
…010100000000000
31101001102200120000
4133230022200000
52042101433130
6124431320000
716114062225
oct3754124000
91331380500
10531671040
1125312935a
1212a080000
13861c3864
145087b94c
1531a22260
hex1fb0a800

531671040 has 240 divisors, whose sum is σ = 1908646740. Its totient is φ = 141557760.

The previous prime is 531671033. The next prime is 531671047. The reversal of 531671040 is 40176135.

It is an interprime number because it is at equal distance from previous prime (531671033) and next prime (531671047).

It can be written as a sum of positive squares in 2 ways, for example, as 517653504 + 14017536 = 22752^2 + 3744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 531670995 and 531671013.

It is not an unprimeable number, because it can be changed into a prime (531671047) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 829120 + ... + 829760.

Almost surely, 2531671040 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 531671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954323370).

531671040 is an abundant number, since it is smaller than the sum of its proper divisors (1376975700).

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

531671040 is an equidigital number, since it uses as much as digits as its factorization.

531671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 531671040 is about 23057.9929742378. The cubic root of 531671040 is about 810.1168555689.

The spelling of 531671040 in words is "five hundred thirty-one million, six hundred seventy-one thousand, forty".