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506062120 = 23517243777
BaseRepresentation
bin11110001010011…
…110010100101000
31022021020121201111
4132022132110220
52014022441440
6122114400104
715353312524
oct3612362450
91267217644
10506062120
1123a727a63
12121590034
1380ac8455
144b2d2d84
152e6644ea
hex1e29e528

506062120 has 48 divisors (see below), whose sum is σ = 1209586140. Its totient is φ = 190513152.

The previous prime is 506062097. The next prime is 506062127. The reversal of 506062120 is 21260605.

It can be written as a sum of positive squares in 6 ways, for example, as 207532836 + 298529284 = 14406^2 + 17278^2 .

It is a junction number, because it is equal to n+sod(n) for n = 506062091 and 506062100.

It is not an unprimeable number, because it can be changed into a prime (506062127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10329 + ... + 33448.

Almost surely, 2506062120 is an apocalyptic number.

It is an amenable number.

506062120 is an abundant number, since it is smaller than the sum of its proper divisors (703524020).

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

506062120 is a wasteful number, since it uses less digits than its factorization.

506062120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43822 (or 43801 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 506062120 is about 22495.8245014492. The cubic root of 506062120 is about 796.8953209633.

The spelling of 506062120 in words is "five hundred six million, sixty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1445 2312 2890 5780 11560 43777 87554 175108 218885 350216 437770 744209 875540 1488418 1751080 2976836 3721045 5953672 7442090 12651553 14884180 25303106 29768360 50606212 63257765 101212424 126515530 253031060 506062120