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531305000 = 2354106261
BaseRepresentation
bin11111101010110…
…001001000101000
31101000202002102222
4133222301020220
52042003230000
6124415413212
716111006112
oct3752611050
91330662388
10531305000
112529a9346
12129b24208
13860c6075
14507c43b2
153199da85
hex1fab1228

531305000 has 40 divisors (see below), whose sum is σ = 1244859330. Its totient is φ = 212520000.

The previous prime is 531304979. The next prime is 531305009. The reversal of 531305000 is 503135.

It can be written as a sum of positive squares in 5 ways, for example, as 41036836 + 490268164 = 6406^2 + 22142^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 531305000.

It is not an unprimeable number, because it can be changed into a prime (531305009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 48131 + ... + 58130.

Almost surely, 2531305000 is an apocalyptic number.

531305000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531305000 is an abundant number, since it is smaller than the sum of its proper divisors (713554330).

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

531305000 is a wasteful number, since it uses less digits than its factorization.

531305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106287 (or 106268 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 531305000 is about 23050.0542298711. The cubic root of 531305000 is about 809.9308989469.

Adding to 531305000 its reverse (503135), we get a palindrome (531808135).

The spelling of 531305000 in words is "five hundred thirty-one million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 106261 212522 425044 531305 850088 1062610 2125220 2656525 4250440 5313050 10626100 13282625 21252200 26565250 53130500 66413125 106261000 132826250 265652500 531305000