Search a number
-
+
315070650 = 232524117077
BaseRepresentation
bin10010110001111…
…001100010111010
3210221212020200100
4102301321202322
51121124230100
651133020230
710544025216
oct2261714272
9727766610
10315070650
11151938274
1289624676
135037664b
142dbb7946
151c9d9400
hex12c798ba

315070650 has 72 divisors (see below), whose sum is σ = 867186684. Its totient is φ = 81964800.

The previous prime is 315070633. The next prime is 315070661. The reversal of 315070650 is 56070513.

315070650 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 7 + 0 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32729841 + 282340809 = 5721^2 + 16803^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9912 + ... + 26988.

Almost surely, 2315070650 is an apocalyptic number.

315070650 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 315070650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433593342).

315070650 is an abundant number, since it is smaller than the sum of its proper divisors (552116034).

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

315070650 is a wasteful number, since it uses less digits than its factorization.

315070650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17136 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 315070650 is about 17750.2295759801. The cubic root of 315070650 is about 680.4600764814.

The spelling of 315070650 in words is "three hundred fifteen million, seventy thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 41 45 50 75 82 90 123 150 205 225 246 369 410 450 615 738 1025 1230 1845 2050 3075 3690 6150 9225 17077 18450 34154 51231 85385 102462 153693 170770 256155 307386 426925 512310 700157 768465 853850 1280775 1400314 1536930 2100471 2561550 3500785 3842325 4200942 6301413 7001570 7684650 10502355 12602826 17503925 21004710 31507065 35007850 52511775 63014130 105023550 157535325 315070650