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315392970 = 235192572153
BaseRepresentation
bin10010110011001…
…000001111001010
3210222110121211010
4102303020033022
51121220033340
651143544350
710546540014
oct2263101712
9728417733
10315392970
11152038452
128975b0b6
135045a279
142dc5d1b4
151ca4eb80
hex12cc83ca

315392970 has 64 divisors (see below), whose sum is σ = 800254080. Its totient is φ = 79331328.

The previous prime is 315392963. The next prime is 315392971. The reversal of 315392970 is 79293513.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (315392971) 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, 145414 + ... + 147566.

It is an arithmetic number, because the mean of its divisors is an integer number (12503970).

Almost surely, 2315392970 is an apocalyptic number.

315392970 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 315392970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400127040).

315392970 is an abundant number, since it is smaller than the sum of its proper divisors (484861110).

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

315392970 is a wasteful number, since it uses less digits than its factorization.

315392970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 315392970 is about 17759.3065743007. The cubic root of 315392970 is about 680.6920362483.

The spelling of 315392970 in words is "three hundred fifteen million, three hundred ninety-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 257 285 514 570 771 1285 1542 2153 2570 3855 4306 4883 6459 7710 9766 10765 12918 14649 21530 24415 29298 32295 40907 48830 64590 73245 81814 122721 146490 204535 245442 409070 553321 613605 1106642 1227210 1659963 2766605 3319926 5533210 8299815 10513099 16599630 21026198 31539297 52565495 63078594 105130990 157696485 315392970