Search a number
-
+
118320160 = 2557891187
BaseRepresentation
bin1110000110101…
…10110000100000
322020122021202011
413003112300200
5220242221120
615424002304
72634463510
oct703266040
9266567664
10118320160
1160874762
1233760394
131b68943a
14119dd840
15a5c2c5a
hex70d6c20

118320160 has 96 divisors (see below), whose sum is σ = 323326080. Its totient is φ = 40077312.

The previous prime is 118320143. The next prime is 118320161. The reversal of 118320160 is 61023811.

118320160 is nontrivially palindromic in base 15.

It is not an unprimeable number, because it can be changed into a prime (118320161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99087 + ... + 100273.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 2118320160 is an apocalyptic number.

118320160 is a gapful number since it is divisible by the number (10) 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 118320160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161663040).

118320160 is an abundant number, since it is smaller than the sum of its proper divisors (205005920).

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

118320160 is a wasteful number, since it uses less digits than its factorization.

118320160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 118320160 is about 10877.5070673385. The cubic root of 118320160 is about 490.9300121607.

Adding to 118320160 its reverse (61023811), we get a palindrome (179343971).

The spelling of 118320160 in words is "one hundred eighteen million, three hundred twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 89 112 140 160 178 224 280 356 445 560 623 712 890 1120 1187 1246 1424 1780 2374 2492 2848 3115 3560 4748 4984 5935 6230 7120 8309 9496 9968 11870 12460 14240 16618 18992 19936 23740 24920 33236 37984 41545 47480 49840 66472 83090 94960 99680 105643 132944 166180 189920 211286 265888 332360 422572 528215 664720 739501 845144 1056430 1329440 1479002 1690288 2112860 2958004 3380576 3697505 4225720 5916008 7395010 8451440 11832016 14790020 16902880 23664032 29580040 59160080 118320160