Search a number
-
+
118440192 = 2831311863
BaseRepresentation
bin1110000111101…
…00000100000000
322020212101101210
413003310010000
5220310041232
615430330120
72635503453
oct703640400
9266771353
10118440192
1160946962
12337b9940
131b6cbc70
1411a3149a
15a5e85cc
hex70f4100

118440192 has 72 divisors (see below), whose sum is σ = 339500224. Its totient is φ = 36440064.

The previous prime is 118440169. The next prime is 118440193. The reversal of 118440192 is 291044811.

It is a super-3 number, since 3×1184401923 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (118440193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4053 + ... + 15915.

Almost surely, 2118440192 is an apocalyptic number.

118440192 is a gapful number since it is divisible by the number (12) 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 118440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169750112).

118440192 is an abundant number, since it is smaller than the sum of its proper divisors (221060032).

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

118440192 is a wasteful number, since it uses less digits than its factorization.

118440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 118440192 is about 10883.0231094122. The cubic root of 118440192 is about 491.0959669617.

The spelling of 118440192 in words is "one hundred eighteen million, four hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 11863 23726 35589 47452 71178 94904 142356 154219 189808 284712 308438 379616 462657 569424 616876 759232 925314 1138848 1233752 1518464 1850628 2277696 2467504 3036928 3701256 4555392 4935008 7402512 9110784 9870016 14805024 19740032 29610048 39480064 59220096 118440192