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8030800 = 2452171181
BaseRepresentation
bin11110101000101001010000
3120010000012001
4132220221100
54023441200
6444043344
7125155261
oct36505120
916100161
108030800
114595728
122833554
13188246b
1410d0968
15a8976a
hex7a8a50

8030800 has 60 divisors (see below), whose sum is σ = 20446236. Its totient is φ = 3020800.

The previous prime is 8030777. The next prime is 8030819. The reversal of 8030800 is 80308.

8030800 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 6 ways, for example, as 501264 + 7529536 = 708^2 + 2744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6210 + ... + 7390.

Almost surely, 28030800 is an apocalyptic number.

8030800 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 8030800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10223118).

8030800 is an abundant number, since it is smaller than the sum of its proper divisors (12415436).

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

8030800 is a wasteful number, since it uses less digits than its factorization.

8030800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 8030800 is about 2833.8666164800. The cubic root of 8030800 is about 200.2563379805.

Multiplying 8030800 by its reverse (80308), we get a square (644937486400 = 8030802).

8030800 divided by its reverse (80308) gives a square (100 = 102).

The spelling of 8030800 in words is "eight million, thirty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1181 1360 1700 2362 3400 4724 5905 6800 9448 11810 18896 20077 23620 29525 40154 47240 59050 80308 94480 100385 118100 160616 200770 236200 321232 401540 472400 501925 803080 1003850 1606160 2007700 4015400 8030800