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81994000 = 2453113727
BaseRepresentation
bin1001110001100…
…10000100010000
312201021201121211
410320302010100
5131442302000
612045225504
72013636364
oct470620420
9181251554
1081994000
1142313340
1223562294
1313caab7a
14ac652a4
1572e97ba
hex4e32110

81994000 has 80 divisors (see below), whose sum is σ = 216343296. Its totient is φ = 29808000.

The previous prime is 81993983. The next prime is 81994001. The reversal of 81994000 is 49918.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (81994001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20137 + ... + 23863.

Almost surely, 281994000 is an apocalyptic number.

81994000 is a gapful number since it is divisible by the number (80) 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 81994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108171648).

81994000 is an abundant number, since it is smaller than the sum of its proper divisors (134349296).

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

81994000 is a wasteful number, since it uses less digits than its factorization.

81994000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 81994000 is about 9055.0538374987. The cubic root of 81994000 is about 434.4375520221.

The spelling of 81994000 in words is "eighty-one million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 3727 4400 5500 7454 11000 14908 18635 22000 29816 37270 40997 59632 74540 81994 93175 149080 163988 186350 204985 298160 327976 372700 409970 465875 655952 745400 819940 931750 1024925 1490800 1639880 1863500 2049850 3279760 3727000 4099700 5124625 7454000 8199400 10249250 16398800 20498500 40997000 81994000