Search a number
-
+
118000320 = 26351011217
BaseRepresentation
bin1110000100010…
…00101011000000
322020001001000020
413002020223000
5220202002240
615413053440
72631662154
oct702105300
9266031006
10118000320
1160676429
1233627280
131b5a6999
1411959064
15a55d0d0
hex7088ac0

118000320 has 112 divisors (see below), whose sum is σ = 378671328. Its totient is φ = 31129600.

The previous prime is 118000319. The next prime is 118000331. The reversal of 118000320 is 23000811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 118000320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96352 + ... + 97568.

It is an arithmetic number, because the mean of its divisors is an integer number (3380994).

Almost surely, 2118000320 is an apocalyptic number.

118000320 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 118000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189335664).

118000320 is an abundant number, since it is smaller than the sum of its proper divisors (260671008).

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

118000320 is a wasteful number, since it uses less digits than its factorization.

118000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 118000320 is about 10862.7952203841. The cubic root of 118000320 is about 490.4872565299.

The spelling of 118000320 in words is "one hundred eighteen million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1217 1515 1616 2020 2424 2434 3030 3232 3651 4040 4848 4868 6060 6085 6464 7302 8080 9696 9736 12120 12170 14604 16160 18255 19392 19472 24240 24340 29208 32320 36510 38944 48480 48680 58416 73020 77888 96960 97360 116832 122917 146040 194720 233664 245834 292080 368751 389440 491668 584160 614585 737502 983336 1168320 1229170 1475004 1843755 1966672 2458340 2950008 3687510 3933344 4916680 5900016 7375020 7866688 9833360 11800032 14750040 19666720 23600064 29500080 39333440 59000160 118000320