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1000080 = 24335463
BaseRepresentation
bin11110100001010010000
31212210212000
43310022100
5224000310
633234000
711333454
oct3641220
91783760
101000080
11623414
12402900
13290283
141c0664
1514b4c0
hexf4290

1000080 has 80 divisors (see below), whose sum is σ = 3452160. Its totient is φ = 266112.

The previous prime is 1000039. The next prime is 1000081. The reversal of 1000080 is 800001.

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

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1000081) 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, 1929 + ... + 2391.

It is an arithmetic number, because the mean of its divisors is an integer number (43152).

21000080 is an apocalyptic number.

1000080 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 1000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726080).

1000080 is an abundant number, since it is smaller than the sum of its proper divisors (2452080).

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

1000080 is a wasteful number, since it uses less digits than its factorization.

1000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000080 is about 1000.0399992000. The cubic root of 1000080 is about 100.0026665956.

Adding to 1000080 its reverse (800001), we get a palindrome (1800081).

The spelling of 1000080 in words is "one million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 463 540 720 926 1080 1389 1852 2160 2315 2778 3704 4167 4630 5556 6945 7408 8334 9260 11112 12501 13890 16668 18520 20835 22224 25002 27780 33336 37040 41670 50004 55560 62505 66672 83340 100008 111120 125010 166680 200016 250020 333360 500040 1000080