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315763890 = 235132927919
BaseRepresentation
bin10010110100100…
…010110010110010
3211000011110121220
4102310202302302
51121313421030
651155525510
710552643301
oct2264426262
9730143556
10315763890
111522710a2
12898b9896
135055a050
142dd18438
151cac4a10
hex12d22cb2

315763890 has 64 divisors (see below), whose sum is σ = 844300800. Its totient is φ = 75043584.

The previous prime is 315763873. The next prime is 315763891. The reversal of 315763890 is 98367513.

It is not an unprimeable number, because it can be changed into a prime (315763891) 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 31 ways as a sum of consecutive naturals, for example, 2650 + ... + 25269.

It is an arithmetic number, because the mean of its divisors is an integer number (13192200).

Almost surely, 2315763890 is an apocalyptic number.

315763890 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 315763890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422150400).

315763890 is an abundant number, since it is smaller than the sum of its proper divisors (528536910).

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

315763890 is a wasteful number, since it uses less digits than its factorization.

315763890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27971.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 315763890 is about 17769.7464810278. The cubic root of 315763890 is about 680.9587758408.

The spelling of 315763890 in words is "three hundred fifteen million, seven hundred sixty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 290 377 390 435 754 870 1131 1885 2262 3770 5655 11310 27919 55838 83757 139595 167514 279190 362947 418785 725894 809651 837570 1088841 1619302 1814735 2177682 2428953 3629470 4048255 4857906 5444205 8096510 10525463 10888410 12144765 21050926 24289530 31576389 52627315 63152778 105254630 157881945 315763890