Search a number
-
+
315021450 = 235241181283
BaseRepresentation
bin10010110001101…
…101100010001010
3210221202202012010
4102301231202022
51121121141300
651132000350
710543431612
oct2261554212
9727682163
10315021450
11151904307
12896000b6
135035a133
142dba3a42
151c9c9a50
hex12c6d88a

315021450 has 96 divisors (see below), whose sum is σ = 807573312. Its totient is φ = 81216000.

The previous prime is 315021449. The next prime is 315021479. The reversal of 315021450 is 54120513.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113009 + ... + 1113291.

It is an arithmetic number, because the mean of its divisors is an integer number (8412222).

Almost surely, 2315021450 is an apocalyptic number.

315021450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315021450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403786656).

315021450 is an abundant number, since it is smaller than the sum of its proper divisors (492551862).

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

315021450 is a wasteful number, since it uses less digits than its factorization.

315021450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 315021450 is about 17748.8436243041. The cubic root of 315021450 is about 680.4246554539.

Adding to 315021450 its reverse (54120513), we get a palindrome (369141963).

The spelling of 315021450 in words is "three hundred fifteen million, twenty-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 181 205 246 283 362 410 543 566 615 849 905 1025 1086 1230 1415 1698 1810 2050 2715 2830 3075 4245 4525 5430 6150 7075 7421 8490 9050 11603 13575 14150 14842 21225 22263 23206 27150 34809 37105 42450 44526 51223 58015 69618 74210 102446 111315 116030 153669 174045 185525 222630 256115 290075 307338 348090 371050 512230 556575 580150 768345 870225 1113150 1280575 1536690 1740450 2100143 2561150 3841725 4200286 6300429 7683450 10500715 12600858 21001430 31502145 52503575 63004290 105007150 157510725 315021450