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80870800 = 24521811117
BaseRepresentation
bin1001101000111…
…11110110010000
312122011122212211
410310133312100
5131200331200
612005201504
72001250633
oct464376620
9178148784
1080870800
114171647a
1223100294
13139a685a
14aa51c1a
157176aba
hex4d1fd90

80870800 has 60 divisors (see below), whose sum is σ = 195540436. Its totient is φ = 32140800.

The previous prime is 80870791. The next prime is 80870813. The reversal of 80870800 is 807808.

It can be written as a sum of positive squares in 6 ways, for example, as 39087504 + 41783296 = 6252^2 + 6464^2 .

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, 71842 + ... + 72958.

Almost surely, 280870800 is an apocalyptic number.

80870800 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 80870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97770218).

80870800 is an abundant number, since it is smaller than the sum of its proper divisors (114669636).

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

80870800 is a wasteful number, since it uses less digits than its factorization.

80870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 80870800 is about 8992.8193576876. The cubic root of 80870800 is about 432.4447009610. Note that the first 3 decimals are identical.

The spelling of 80870800 in words is "eighty million, eight hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 181 200 362 400 724 905 1117 1448 1810 2234 2896 3620 4468 4525 5585 7240 8936 9050 11170 14480 17872 18100 22340 27925 36200 44680 55850 72400 89360 111700 202177 223400 404354 446800 808708 1010885 1617416 2021770 3234832 4043540 5054425 8087080 10108850 16174160 20217700 40435400 80870800