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531312240 = 24357193079
BaseRepresentation
bin11111101010110…
…010111001110000
31101000202110101010
4133222302321300
52042003442430
6124415510520
716111036164
oct3752627160
91330673333
10531312240
11252a03828
12129b28440
13860c9454
14507c6ca4
15319a0cb0
hex1fab2e70

531312240 has 80 divisors (see below), whose sum is σ = 1649894400. Its totient is φ = 141440256.

The previous prime is 531312239. The next prime is 531312251. The reversal of 531312240 is 42213135.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 171021 + ... + 174099.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 2531312240 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 531312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

531312240 is an abundant number, since it is smaller than the sum of its proper divisors (1118582160).

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

531312240 is a wasteful number, since it uses less digits than its factorization.

531312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 531312240 is about 23050.2112788582. The cubic root of 531312240 is about 809.9345778589.

Adding to 531312240 its reverse (42213135), we get a palindrome (573525375).

The spelling of 531312240 in words is "five hundred thirty-one million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 719 1438 2157 2876 3079 3595 4314 5752 6158 7190 8628 9237 10785 11504 12316 14380 15395 17256 18474 21570 24632 28760 30790 34512 36948 43140 46185 49264 57520 61580 73896 86280 92370 123160 147792 172560 184740 246320 369480 738960 2213801 4427602 6641403 8855204 11069005 13282806 17710408 22138010 26565612 33207015 35420816 44276020 53131224 66414030 88552040 106262448 132828060 177104080 265656120 531312240