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118138600 = 2352896637
BaseRepresentation
bin1110000101010…
…10011011101000
322020022001200201
413002222123220
5220220413400
615420041544
72633106256
oct702523350
9266261621
10118138600
1160760308
12336932b4
131b6248c8
14119935d6
15a58906a
hex70aa6e8

118138600 has 48 divisors (see below), whose sum is σ = 277800300. Its totient is φ = 46717440.

The previous prime is 118138583. The next prime is 118138607. The reversal of 118138600 is 6831811.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2490084 + 115648516 = 1578^2 + 10754^2 .

It is not an unprimeable number, because it can be changed into a prime (118138607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 14482 + ... + 21118.

Almost surely, 2118138600 is an apocalyptic number.

118138600 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 118138600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138900150).

118138600 is an abundant number, since it is smaller than the sum of its proper divisors (159661700).

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

118138600 is a wasteful number, since it uses less digits than its factorization.

118138600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 118138600 is about 10869.1582010752. The cubic root of 118138600 is about 490.6787760710.

The spelling of 118138600 in words is "one hundred eighteen million, one hundred thirty-eight thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 6637 8900 13274 17800 26548 33185 53096 66370 132740 165925 265480 331850 590693 663700 1181386 1327400 2362772 2953465 4725544 5906930 11813860 14767325 23627720 29534650 59069300 118138600