Search a number
-
+
506131026 = 23295371773
BaseRepresentation
bin11110001010101…
…111001001010010
31022021101010020120
4132022233021102
52014032143101
6122120051110
715354020442
oct3612571122
91267333216
10506131026
1123a774805
12121603a96
1380b2091b
144b310122
152e679b36
hex1e2af252

506131026 has 64 divisors (see below), whose sum is σ = 1083352320. Its totient is φ = 157364480.

The previous prime is 506131013. The next prime is 506131033. The reversal of 506131026 is 620131605.

It is a junction number, because it is equal to n+sod(n) for n = 506130987 and 506131005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654376 + ... + 655148.

It is an arithmetic number, because the mean of its divisors is an integer number (16927380).

Almost surely, 2506131026 is an apocalyptic number.

506131026 is an abundant number, since it is smaller than the sum of its proper divisors (577221294).

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

506131026 is a wasteful number, since it uses less digits than its factorization.

506131026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506131026 is about 22497.3559779811. The cubic root of 506131026 is about 796.9314880495.

The spelling of 506131026 in words is "five hundred six million, one hundred thirty-one thousand, twenty-six".

Divisors: 1 2 3 6 29 53 58 71 87 106 142 159 174 213 318 426 773 1537 1546 2059 2319 3074 3763 4118 4611 4638 6177 7526 9222 11289 12354 22417 22578 40969 44834 54883 67251 81938 109127 109766 122907 134502 164649 218254 245814 327381 329298 654762 1188101 1591607 2376202 2908799 3183214 3564303 4774821 5817598 7128606 8726397 9549642 17452794 84355171 168710342 253065513 506131026