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506303140 = 225723971621
BaseRepresentation
bin11110001011011…
…001001010100100
31022021200212100011
4132023121022210
52014103200030
6122123500004
715355335310
oct3613311244
91267625304
10506303140
1123a882052
12121687604
1380b81075
144b356b40
152e6b0b2a
hex1e2d92a4

506303140 has 96 divisors (see below), whose sum is σ = 1281821184. Its totient is φ = 164229120.

The previous prime is 506303099. The next prime is 506303143. The reversal of 506303140 is 41303605.

It is not an unprimeable number, because it can be changed into a prime (506303143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311530 + ... + 313150.

It is an arithmetic number, because the mean of its divisors is an integer number (13352304).

Almost surely, 2506303140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506303140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640910592).

506303140 is an abundant number, since it is smaller than the sum of its proper divisors (775518044).

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

506303140 is a wasteful number, since it uses less digits than its factorization.

506303140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1755 counting only the distinct ones).

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

The square root of 506303140 is about 22501.1808579017. The cubic root of 506303140 is about 797.0218121712.

Adding to 506303140 its reverse (41303605), we get a palindrome (547606745).

The spelling of 506303140 in words is "five hundred six million, three hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 97 115 140 161 194 230 322 388 460 485 644 679 805 970 1358 1610 1621 1940 2231 2716 3220 3242 3395 4462 6484 6790 8105 8924 11155 11347 13580 15617 16210 22310 22694 31234 32420 37283 44620 45388 56735 62468 74566 78085 113470 149132 156170 157237 186415 226940 260981 312340 314474 372830 521962 628948 745660 786185 1043924 1100659 1304905 1572370 2201318 2609810 3144740 3616451 4402636 5219620 5503295 7232902 11006590 14465804 18082255 22013180 25315157 36164510 50630314 72329020 101260628 126575785 253151570 506303140