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315136140 = 2235111728087
BaseRepresentation
bin10010110010001…
…001100010001100
3210221222120111220
4102302021202030
51121133324030
651134243340
710544420154
oct2262114214
9727876456
10315136140
111519824a0
1289656550
135039a3b7
142dbd3764
151c9eda10
hex12c8988c

315136140 has 96 divisors (see below), whose sum is σ = 1019257344. Its totient is φ = 71900160.

The previous prime is 315136103. The next prime is 315136177. The reversal of 315136140 is 41631513.

It is an interprime number because it is at equal distance from previous prime (315136103) and next prime (315136177).

It is a self number, because there is not a number n which added to its sum of digits gives 315136140.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2824 + ... + 25263.

It is an arithmetic number, because the mean of its divisors is an integer number (10617264).

Almost surely, 2315136140 is an apocalyptic number.

315136140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315136140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509628672).

315136140 is an abundant number, since it is smaller than the sum of its proper divisors (704121204).

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

315136140 is a wasteful number, since it uses less digits than its factorization.

315136140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28127 (or 28125 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 315136140 is about 17752.0742450002. The cubic root of 315136140 is about 680.5072196044.

Adding to 315136140 its reverse (41631513), we get a palindrome (356767653).

The spelling of 315136140 in words is "three hundred fifteen million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1870 2244 2805 3740 5610 11220 28087 56174 84261 112348 140435 168522 280870 308957 337044 421305 477479 561740 617914 842610 926871 954958 1235828 1432437 1544785 1685220 1853742 1909916 2387395 2864874 3089570 3707484 4634355 4774790 5252269 5729748 6179140 7162185 9268710 9549580 10504538 14324370 15756807 18537420 21009076 26261345 28648740 31513614 52522690 63027228 78784035 105045380 157568070 315136140