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315213390 = 233523193263
BaseRepresentation
bin10010110010011…
…100011001001110
3210222010111111000
4102302130121032
51121143312030
651140041130
710545161322
oct2262343116
9728114430
10315213390
11151a25538
12896931a6
13503c65cb
142dc13982
151ca16860
hex12c9c64e

315213390 has 128 divisors (see below), whose sum is σ = 885012480. Its totient is φ = 79681536.

The previous prime is 315213377. The next prime is 315213391. The reversal of 315213390 is 93312513.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315213391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198399 + ... + 1198661.

It is an arithmetic number, because the mean of its divisors is an integer number (6914160).

Almost surely, 2315213390 is an apocalyptic number.

315213390 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 315213390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442506240).

315213390 is an abundant number, since it is smaller than the sum of its proper divisors (569799090).

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

315213390 is a wasteful number, since it uses less digits than its factorization.

315213390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 315213390 is about 17754.2499137530. The cubic root of 315213390 is about 680.5628197944.

The spelling of 315213390 in words is "three hundred fifteen million, two hundred thirteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 193 207 230 263 270 345 386 414 526 579 621 690 789 965 1035 1158 1242 1315 1578 1737 1930 2070 2367 2630 2895 3105 3474 3945 4439 4734 5211 5790 6049 6210 7101 7890 8685 8878 10422 11835 12098 13317 14202 17370 18147 22195 23670 26055 26634 30245 35505 36294 39951 44390 50759 52110 54441 60490 66585 71010 79902 90735 101518 108882 119853 133170 152277 163323 181470 199755 239706 253795 272205 304554 326646 399510 456831 507590 544410 599265 761385 816615 913662 1167457 1198530 1370493 1522770 1633230 2284155 2334914 2740986 3502371 4568310 5837285 6852465 7004742 10507113 11674570 13704930 17511855 21014226 31521339 35023710 52535565 63042678 105071130 157606695 315213390