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505506060 = 223259293023
BaseRepresentation
bin11110001000010…
…110100100001100
31022020012100221200
4132020112210030
52013402143220
6122054425500
715345505413
oct3610264414
91266170850
10505506060
1123a388204
12121362290
1380962317
144b1ca47a
152e5a4890
hex1e21690c

505506060 has 72 divisors (see below), whose sum is σ = 1535526720. Its totient is φ = 134611968.

The previous prime is 505506037. The next prime is 505506107. The reversal of 505506060 is 60605505.

505506060 is a `hidden beast` number, since 5 + 0 + 5 + 50 + 606 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165709 + ... + 168731.

It is an arithmetic number, because the mean of its divisors is an integer number (21326760).

Almost surely, 2505506060 is an apocalyptic number.

It is an amenable number.

505506060 is an abundant number, since it is smaller than the sum of its proper divisors (1030020660).

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

505506060 is a wasteful number, since it uses less digits than its factorization.

505506060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 505506060 is about 22483.4619220439. The cubic root of 505506060 is about 796.6033383560.

The spelling of 505506060 in words is "five hundred five million, five hundred six thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 929 1858 2787 3023 3716 4645 5574 6046 8361 9069 9290 11148 12092 13935 15115 16722 18138 18580 27207 27870 30230 33444 36276 41805 45345 54414 55740 60460 83610 90690 108828 136035 167220 181380 272070 544140 2808367 5616734 8425101 11233468 14041835 16850202 25275303 28083670 33700404 42125505 50550606 56167340 84251010 101101212 126376515 168502020 252753030 505506060