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315020000 = 255419829
BaseRepresentation
bin10010110001101…
…101001011100000
3210221202200012102
4102301231023200
51121121120000
651131545532
710543424441
oct2261551340
9727680172
10315020000
11151903209
12895bb2a8
1350359589
142dba32c8
151c9c93d5
hex12c6d2e0

315020000 has 120 divisors (see below), whose sum is σ = 816769800. Its totient is φ = 119232000.

The previous prime is 315019973. The next prime is 315020003. The reversal of 315020000 is 20513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315020003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 379586 + ... + 380414.

It is an arithmetic number, because the mean of its divisors is an integer number (6806415).

Almost surely, 2315020000 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 315020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408384900).

315020000 is an abundant number, since it is smaller than the sum of its proper divisors (501749800).

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

315020000 is an equidigital number, since it uses as much as digits as its factorization.

315020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 315020000 is about 17748.8027765255. The cubic root of 315020000 is about 680.4236114855.

Adding to 315020000 its reverse (20513), we get a palindrome (315040513).

The spelling of 315020000 in words is "three hundred fifteen million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 829 950 1000 1250 1520 1658 1900 2000 2375 2500 3040 3316 3800 4000 4145 4750 5000 6632 7600 8290 9500 10000 11875 13264 15200 15751 16580 19000 20000 20725 23750 26528 31502 33160 38000 41450 47500 63004 66320 76000 78755 82900 95000 103625 126008 132640 157510 165800 190000 207250 252016 315020 331600 380000 393775 414500 504032 518125 630040 663200 787550 829000 1036250 1260080 1575100 1658000 1968875 2072500 2520160 3150200 3316000 3937750 4145000 6300400 7875500 8290000 9844375 12600800 15751000 16580000 19688750 31502000 39377500 63004000 78755000 157510000 315020000