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505660743 = 32726071889
BaseRepresentation
bin11110001000111…
…100010101000111
31022020111020010200
4132020330111013
52013422120433
6122102021543
715350021400
oct3610742507
91266436120
10505660743
1123a483445
121214178b3
13809b7853
144b22a9a7
152e5d5613
hex1e23c547

505660743 has 36 divisors (see below), whose sum is σ = 851497920. Its totient is φ = 288320256.

The previous prime is 505660741. The next prime is 505660763. The reversal of 505660743 is 347066505.

505660743 is a `hidden beast` number, since 5 + 0 + 5 + 6 + 607 + 43 = 666.

It is not a de Polignac number, because 505660743 - 21 = 505660741 is a prime.

It is a super-2 number, since 2×5056607432 = 511385574022624098, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505660698 and 505660707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505660741) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266743 + ... + 268631.

It is an arithmetic number, because the mean of its divisors is an integer number (23652720).

Almost surely, 2505660743 is an apocalyptic number.

505660743 is a deficient number, since it is larger than the sum of its proper divisors (345837177).

505660743 is a wasteful number, since it uses less digits than its factorization.

505660743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 505660743 is about 22486.9015873686. The cubic root of 505660743 is about 796.6845826362.

The spelling of 505660743 in words is "five hundred five million, six hundred sixty thousand, seven hundred forty-three".

Divisors: 1 3 7 9 21 49 63 147 441 607 1821 1889 4249 5463 5667 12747 13223 17001 29743 38241 39669 89229 92561 119007 267687 277683 833049 1146623 3439869 8026361 10319607 24079083 56184527 72237249 168553581 505660743