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116244000 = 2532533229
BaseRepresentation
bin1101110110110…
…11111000100000
322002201210210100
412323123320200
5214224302000
615311302400
72611025535
oct673337040
9262653710
10116244000
115a686924
1232b1aa00
131b110442
141161cd8c
15a312a00
hex6edbe20

116244000 has 144 divisors (see below), whose sum is σ = 412677720. Its totient is φ = 30988800.

The previous prime is 116243993. The next prime is 116244013. The reversal of 116244000 is 442611.

116244000 is a `hidden beast` number, since 1 + 1 + 624 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23853456 + 92390544 = 4884^2 + 9612^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34386 + ... + 37614.

Almost surely, 2116244000 is an apocalyptic number.

116244000 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 116244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206338860).

116244000 is an abundant number, since it is smaller than the sum of its proper divisors (296433720).

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

116244000 is a wasteful number, since it uses less digits than its factorization.

116244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 116244000 is about 10781.6510794961. The cubic root of 116244000 is about 488.0416071306.

Adding to 116244000 its reverse (442611), we get a palindrome (116686611).

The spelling of 116244000 in words is "one hundred sixteen million, two hundred forty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3229 3600 4000 4500 6000 6458 7200 9000 9687 12000 12916 16145 18000 19374 25832 29061 32290 36000 38748 48435 51664 58122 64580 77496 80725 96870 103328 116244 129160 145305 154992 161450 193740 232488 242175 258320 290610 309984 322900 387480 403625 464976 484350 516640 581220 645800 726525 774960 807250 929952 968700 1162440 1210875 1291600 1453050 1549920 1614500 1937400 2324880 2421750 2583200 2906100 3229000 3632625 3874800 4649760 4843500 5812200 6458000 7265250 7749600 9687000 11624400 12916000 14530500 19374000 23248800 29061000 38748000 58122000 116244000