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8750080 = 21051709
BaseRepresentation
bin100001011000…
…010000000000
3121110112212001
4201120100000
54220000310
6511313344
7134242303
oct41302000
917415761
108750080
114a37079
122b1b854
131a74981
14123ab3a
15b7c93a
hex858400

8750080 has 44 divisors (see below), whose sum is σ = 21002220. Its totient is φ = 3497984.

The previous prime is 8750069. The next prime is 8750101. The reversal of 8750080 is 800578.

It can be written as a sum of positive squares in 2 ways, for example, as 2359296 + 6390784 = 1536^2 + 2528^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4266 + ... + 5974.

Almost surely, 28750080 is an apocalyptic number.

8750080 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 8750080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501110).

8750080 is an abundant number, since it is smaller than the sum of its proper divisors (12252140).

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

8750080 is a wasteful number, since it uses less digits than its factorization.

8750080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 8750080 is about 2958.0534139870. The cubic root of 8750080 is about 206.0648929939.

The spelling of 8750080 in words is "eight million, seven hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1709 2560 3418 5120 6836 8545 13672 17090 27344 34180 54688 68360 109376 136720 218752 273440 437504 546880 875008 1093760 1750016 2187520 4375040 8750080