Search a number
-
+
8750240 = 255173217
BaseRepresentation
bin100001011000…
…010010100000
3121110120001222
4201120102200
54220001430
6511314212
7134242622
oct41302240
917416058
108750240
114a37204
122b1b968
131a74a75
14123ac12
15b7c9e5
hex8584a0

8750240 has 48 divisors (see below), whose sum is σ = 21895272. Its totient is φ = 3293184.

The previous prime is 8750239. The next prime is 8750243. The reversal of 8750240 is 420578.

It can be written as a sum of positive squares in 4 ways, for example, as 8690704 + 59536 = 2948^2 + 244^2 .

It is not an unprimeable number, because it can be changed into a prime (8750243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 4328.

Almost surely, 28750240 is an apocalyptic number.

8750240 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 8750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10947636).

8750240 is an abundant number, since it is smaller than the sum of its proper divisors (13145032).

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

8750240 is a wasteful number, since it uses less digits than its factorization.

8750240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 8750240 is about 2958.0804586759. The cubic root of 8750240 is about 206.0661489893.

The spelling of 8750240 in words is "eight million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 3217 6434 12868 16085 25736 32170 51472 54689 64340 102944 109378 128680 218756 257360 273445 437512 514720 546890 875024 1093780 1750048 2187560 4375120 8750240