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118005440 = 2657139379
BaseRepresentation
bin1110000100010…
…01111011000000
322020001022000212
413002021323000
5220202133230
615413133252
72632013120
oct702117300
9266038025
10118005440
116067a263
123362a228
131b5a9107
141195ac80
15a55e895
hex7089ec0

118005440 has 112 divisors (see below), whose sum is σ = 324307200. Its totient is φ = 40061952.

The previous prime is 118005431. The next prime is 118005451. The reversal of 118005440 is 44500811.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 311171 + ... + 311549.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2118005440 is an apocalyptic number.

118005440 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 118005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162153600).

118005440 is an abundant number, since it is smaller than the sum of its proper divisors (206301760).

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

118005440 is a wasteful number, since it uses less digits than its factorization.

118005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 118005440 is about 10863.0308846104. The cubic root of 118005440 is about 490.4943504610.

The spelling of 118005440 in words is "one hundred eighteen million, five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 139 140 160 224 278 280 320 379 448 556 560 695 758 973 1112 1120 1390 1516 1895 1946 2224 2240 2653 2780 3032 3790 3892 4448 4865 5306 5560 6064 7580 7784 8896 9730 10612 11120 12128 13265 15160 15568 19460 21224 22240 24256 26530 30320 31136 38920 42448 44480 52681 53060 60640 62272 77840 84896 105362 106120 121280 155680 169792 210724 212240 263405 311360 368767 421448 424480 526810 737534 842896 848960 1053620 1475068 1685792 1843835 2107240 2950136 3371584 3687670 4214480 5900272 7375340 8428960 11800544 14750680 16857920 23601088 29501360 59002720 118005440