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315827680 = 2557281989
BaseRepresentation
bin10010110100110…
…010010111100000
3211000021201010111
4102310302113200
51121322441210
651201141104
710553330260
oct2264622740
9730251114
10315827680
11152305013
128992a794
13505800ac
142dd337a0
151cad888a
hex12d325e0

315827680 has 48 divisors (see below), whose sum is σ = 852737760. Its totient is φ = 108283392.

The previous prime is 315827663. The next prime is 315827713. The reversal of 315827680 is 86728513.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 139875 + ... + 142114.

It is an arithmetic number, because the mean of its divisors is an integer number (17765370).

Almost surely, 2315827680 is an apocalyptic number.

It is an amenable number.

315827680 is an abundant number, since it is smaller than the sum of its proper divisors (536910080).

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

315827680 is a wasteful number, since it uses less digits than its factorization.

315827680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282011 (or 282003 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 315827680 is about 17771.5412950031. The cubic root of 315827680 is about 681.0046280708.

The spelling of 315827680 in words is "three hundred fifteen million, eight hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 281989 563978 1127956 1409945 1973923 2255912 2819890 3947846 4511824 5639780 7895692 9023648 9869615 11279560 15791384 19739230 22559120 31582768 39478460 45118240 63165536 78956920 157913840 315827680