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118003140 = 223252812333
BaseRepresentation
bin1110000100010…
…01010111000100
322020001011212200
413002021113010
5220202100030
615413114500
72632003323
oct702112704
9266034780
10118003140
1160678562
1233628a30
131b5a8058
141195a0ba
15a55dd60
hex70895c4

118003140 has 72 divisors (see below), whose sum is σ = 359370648. Its totient is φ = 31342080.

The previous prime is 118003099. The next prime is 118003141. The reversal of 118003140 is 41300811.

It can be written as a sum of positive squares in 4 ways, for example, as 12489156 + 105513984 = 3534^2 + 10272^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118003141) 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 23 ways as a sum of consecutive naturals, for example, 49414 + ... + 51746.

It is an arithmetic number, because the mean of its divisors is an integer number (4991259).

Almost surely, 2118003140 is an apocalyptic number.

118003140 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 118003140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179685324).

118003140 is an abundant number, since it is smaller than the sum of its proper divisors (241367508).

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

118003140 is a wasteful number, since it uses less digits than its factorization.

118003140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 118003140 is about 10862.9250204537. The cubic root of 118003140 is about 490.4911637596.

Adding to 118003140 its reverse (41300811), we get a palindrome (159303951).

The spelling of 118003140 in words is "one hundred eighteen million, three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 281 562 843 1124 1405 1686 2333 2529 2810 3372 4215 4666 5058 5620 6999 8430 9332 10116 11665 12645 13998 16860 20997 23330 25290 27996 34995 41994 46660 50580 69990 83988 104985 139980 209970 419940 655573 1311146 1966719 2622292 3277865 3933438 5900157 6555730 7866876 9833595 11800314 13111460 19667190 23600628 29500785 39334380 59001570 118003140