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8868240 = 24325109113
BaseRepresentation
bin100001110101…
…000110010000
3121200112221100
4201311012100
54232240430
6514024400
7135243633
oct41650620
917615840
108868240
115007927
122b78100
131ab66a4
14126bc1a
15ba2960
hex875190

8868240 has 120 divisors (see below), whose sum is σ = 30321720. Its totient is φ = 2322432.

The previous prime is 8868217. The next prime is 8868247. The reversal of 8868240 is 428688.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 8785296 = 288^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8868195 and 8868204.

It is not an unprimeable number, because it can be changed into a prime (8868247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78424 + ... + 78536.

It is an arithmetic number, because the mean of its divisors is an integer number (252681).

Almost surely, 28868240 is an apocalyptic number.

8868240 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 8868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160860).

8868240 is an abundant number, since it is smaller than the sum of its proper divisors (21453480).

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

8868240 is a wasteful number, since it uses less digits than its factorization.

8868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8868240 is about 2977.9590326262. The cubic root of 8868240 is about 206.9883071180.

The spelling of 8868240 in words is "eight million, eight hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 109 113 120 144 180 218 226 240 327 339 360 436 452 545 565 654 678 720 872 904 981 1017 1090 1130 1308 1356 1635 1695 1744 1808 1962 2034 2180 2260 2616 2712 3270 3390 3924 4068 4360 4520 4905 5085 5232 5424 6540 6780 7848 8136 8720 9040 9810 10170 12317 13080 13560 15696 16272 19620 20340 24634 26160 27120 36951 39240 40680 49268 61585 73902 78480 81360 98536 110853 123170 147804 184755 197072 221706 246340 295608 369510 443412 492680 554265 591216 739020 886824 985360 1108530 1478040 1773648 2217060 2956080 4434120 8868240