Search a number
-
+
118213248 = 273833709
BaseRepresentation
bin1110000101111…
…00101010000000
322020102212002110
413002330222000
5220230310443
615421415320
72633540016
oct702745200
9266385073
10118213248
11608013aa
123370a540
131b64c88a
14119b28b6
15a5a1233
hex70bca80

118213248 has 64 divisors (see below), whose sum is σ = 317872800. Its totient is φ = 38919168.

The previous prime is 118213247. The next prime is 118213253. The reversal of 118213248 is 842312811.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (118213247) 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 7 ways as a sum of consecutive naturals, for example, 30018 + ... + 33726.

Almost surely, 2118213248 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 118213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158936400).

118213248 is an abundant number, since it is smaller than the sum of its proper divisors (199659552).

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

118213248 is an equidigital number, since it uses as much as digits as its factorization.

118213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3809 (or 3797 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 118213248 is about 10872.5915953833. The cubic root of 118213248 is about 490.7821023822.

The spelling of 118213248 in words is "one hundred eighteen million, two hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3709 3984 5312 7418 7968 10624 11127 14836 15936 22254 29672 31872 44508 59344 89016 118688 178032 237376 307847 356064 474752 615694 712128 923541 1231388 1424256 1847082 2462776 3694164 4925552 7388328 9851104 14776656 19702208 29553312 39404416 59106624 118213248