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506075540 = 22535117207
BaseRepresentation
bin11110001010100…
…001100110010100
31022021021022010112
4132022201212110
52014023404130
6122114542152
715353366615
oct3612414624
91267238115
10506075540
1123a737053
12121597958
1380b015a9
144b2d7c0c
152e668495
hex1e2a1994

506075540 has 24 divisors (see below), whose sum is σ = 1063208832. Its totient is φ = 202344480.

The previous prime is 506075503. The next prime is 506075543. The reversal of 506075540 is 45570605.

It is a happy number.

It is a super-2 number, since 2×5060755402 = 512224904372583200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506075497 and 506075506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506075543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66617 + ... + 73823.

It is an arithmetic number, because the mean of its divisors is an integer number (44300368).

Almost surely, 2506075540 is an apocalyptic number.

It is an amenable number.

506075540 is an abundant number, since it is smaller than the sum of its proper divisors (557133292).

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

506075540 is a wasteful number, since it uses less digits than its factorization.

506075540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10727 (or 10725 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 506075540 is about 22496.1227770476. The cubic root of 506075540 is about 796.9023650528.

The spelling of 506075540 in words is "five hundred six million, seventy-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 3511 7022 7207 14044 14414 17555 28828 35110 36035 70220 72070 144140 25303777 50607554 101215108 126518885 253037770 506075540