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516124240 = 24519732749
BaseRepresentation
bin11110110000110…
…110111001010000
31022222011211100121
4132300312321100
52024111433430
6123114200024
715534661252
oct3660667120
91288154317
10516124240
1124537a865
12124a23014
1382c0c378
144c791cd2
15304a0a7a
hex1ec36e50

516124240 has 40 divisors (see below), whose sum is σ = 1206117000. Its totient is φ = 205395456.

The previous prime is 516124201. The next prime is 516124243. The reversal of 516124240 is 42421615.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 390773824 = 11196^2 + 19768^2 .

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

It is a super-2 number, since 2×5161242402 = 532768462231155200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516124243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 615 + ... + 32134.

It is an arithmetic number, because the mean of its divisors is an integer number (30152925).

Almost surely, 2516124240 is an apocalyptic number.

It is an amenable number.

516124240 is an abundant number, since it is smaller than the sum of its proper divisors (689992760).

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

516124240 is a wasteful number, since it uses less digits than its factorization.

516124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959 (or 32953 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 516124240 is about 22718.3678991251. The cubic root of 516124240 is about 802.1422997357.

Adding to 516124240 its reverse (42421615), we get a palindrome (558545855).

The spelling of 516124240 in words is "five hundred sixteen million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 197 394 788 985 1576 1970 3152 3940 7880 15760 32749 65498 130996 163745 261992 327490 523984 654980 1309960 2619920 6451553 12903106 25806212 32257765 51612424 64515530 103224848 129031060 258062120 516124240