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506520036 = 2232114312
BaseRepresentation
bin11110001100001…
…110000111100100
31022022002212212100
4132030032013210
52014132120121
6122132252100
715360230541
oct3614160744
91268085770
10506520036
1123aa10000
12121771030
1380c289c9
144b3b1bc8
152e705026
hex1e30e1e4

506520036 has 135 divisors (see below), whose sum is σ = 1455296115. Its totient is φ = 148539600.

The previous prime is 506520029. The next prime is 506520071. The reversal of 506520036 is 630025605.

The square root of 506520036 is 22506.

It is a perfect power (a square), and thus also a powerful number.

506520036 is a `hidden beast` number, since 5 + 0 + 652 + 0 + 0 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 506519991 and 506520009.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16339341 + ... + 16339371.

Almost surely, 2506520036 is an apocalyptic number.

506520036 is the 22506-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506520036

506520036 is an abundant number, since it is smaller than the sum of its proper divisors (948776079).

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

506520036 is a wasteful number, since it uses less digits than its factorization.

506520036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The cubic root of 506520036 is about 797.1356083997.

The spelling of 506520036 in words is "five hundred six million, five hundred twenty thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 121 124 132 186 198 242 279 341 363 372 396 484 558 682 726 961 1023 1089 1116 1331 1364 1452 1922 2046 2178 2662 2883 3069 3751 3844 3993 4092 4356 5324 5766 6138 7502 7986 8649 10571 11253 11532 11979 12276 14641 15004 15972 17298 21142 22506 23958 29282 31713 33759 34596 41261 42284 43923 45012 47916 58564 63426 67518 82522 87846 95139 116281 123783 126852 131769 135036 165044 175692 190278 232562 247566 263538 348843 371349 380556 453871 465124 495132 527076 697686 742698 907742 1046529 1279091 1361613 1395372 1485396 1815484 2093058 2558182 2723226 3837273 4084839 4186116 5116364 5446452 7674546 8169678 11511819 14070001 15349092 16339356 23023638 28140002 42210003 46047276 56280004 84420006 126630009 168840012 253260018 506520036