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315421280 = 25519313347
BaseRepresentation
bin10010110011001…
…111001001100000
3210222112001122122
4102303033021200
51121221440110
651144323412
710550015366
oct2263171140
9728461578
10315421280
11152057749
1289773568
135046a115
142dc69636
151ca58255
hex12ccf260

315421280 has 96 divisors (see below), whose sum is σ = 809948160. Its totient is φ = 115637760.

The previous prime is 315421273. The next prime is 315421289. The reversal of 315421280 is 82124513.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315421289) 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 15 ways as a sum of consecutive naturals, for example, 92567 + ... + 95913.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2315421280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315421280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

315421280 is an abundant number, since it is smaller than the sum of its proper divisors (494526880).

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

315421280 is a wasteful number, since it uses less digits than its factorization.

315421280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 315421280 is about 17760.1036033014. The cubic root of 315421280 is about 680.7124021800.

Adding to 315421280 its reverse (82124513), we get a palindrome (397545793).

The spelling of 315421280 in words is "three hundred fifteen million, four hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1520 2356 2480 2945 3040 3347 4712 4960 5890 6694 9424 11780 13388 16735 18848 23560 26776 33470 47120 53552 63593 66940 94240 103757 107104 127186 133880 207514 254372 267760 317965 415028 508744 518785 535520 635930 830056 1017488 1037570 1271860 1660112 1971383 2034976 2075140 2543720 3320224 3942766 4150280 5087440 7885532 8300560 9856915 10174880 15771064 16601120 19713830 31542128 39427660 63084256 78855320 157710640 315421280