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8054000 = 24534027
BaseRepresentation
bin11110101110010011110000
3120011012000022
4132232103300
54030212000
6444343012
7125313023
oct36562360
916135008
108054000
1146010a9
122844a68
13188cba6
1410d91ba
15a91585
hex7ae4f0

8054000 has 40 divisors (see below), whose sum is σ = 19479408. Its totient is φ = 3220800.

The previous prime is 8053987. The next prime is 8054021. The reversal of 8054000 is 4508.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8054000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14 + ... + 4013.

Almost surely, 28054000 is an apocalyptic number.

8054000 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 8054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9739704).

8054000 is an abundant number, since it is smaller than the sum of its proper divisors (11425408).

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

8054000 is a wasteful number, since it uses less digits than its factorization.

8054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 4034 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 8054000 is about 2837.9570116547. The cubic root of 8054000 is about 200.4489912799.

Adding to 8054000 its reverse (4508), we get a palindrome (8058508).

The spelling of 8054000 in words is "eight million, fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4027 8054 16108 20135 32216 40270 64432 80540 100675 161080 201350 322160 402700 503375 805400 1006750 1610800 2013500 4027000 8054000