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506233120 = 2553163957
BaseRepresentation
bin11110001011001…
…000000100100000
31022021120022021211
4132023020010200
52014043424440
6122122155504
715354624211
oct3613100440
91267508254
10506233120
1123a834488
12121652b94
1380b58233
144b339408
152e699eea
hex1e2c8120

506233120 has 24 divisors (see below), whose sum is σ = 1195976124. Its totient is φ = 202493184.

The previous prime is 506233111. The next prime is 506233121. The reversal of 506233120 is 21332605.

It can be written as a sum of positive squares in 2 ways, for example, as 482768784 + 23464336 = 21972^2 + 4844^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506233091 and 506233100.

It is not an unprimeable number, because it can be changed into a prime (506233121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1581819 + ... + 1582138.

Almost surely, 2506233120 is an apocalyptic number.

It is an amenable number.

506233120 is an abundant number, since it is smaller than the sum of its proper divisors (689743004).

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

506233120 is a wasteful number, since it uses less digits than its factorization.

506233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3163972 (or 3163964 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 506233120 is about 22499.6248857620. The cubic root of 506233120 is about 796.9850686766.

Adding to 506233120 its reverse (21332605), we get a palindrome (527565725).

The spelling of 506233120 in words is "five hundred six million, two hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 3163957 6327914 12655828 15819785 25311656 31639570 50623312 63279140 101246624 126558280 253116560 506233120