Search a number
-
+
8027240 = 2351343359
BaseRepresentation
bin11110100111110001101000
3120002211022012
4132213301220
54023332430
6444015052
7125142014
oct36476150
916084265
108027240
114592a91
122831488
131880960
1410cd544
15a88695
hex7a7c68

8027240 has 64 divisors (see below), whose sum is σ = 19958400. Its totient is φ = 2886912.

The previous prime is 8027237. The next prime is 8027249. The reversal of 8027240 is 427208.

It is not an unprimeable number, because it can be changed into a prime (8027249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22181 + ... + 22539.

It is an arithmetic number, because the mean of its divisors is an integer number (311850).

Almost surely, 28027240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9979200).

8027240 is an abundant number, since it is smaller than the sum of its proper divisors (11931160).

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

8027240 is a wasteful number, since it uses less digits than its factorization.

8027240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 8027240 is about 2833.2384297831. The cubic root of 8027240 is about 200.2267428413.

The spelling of 8027240 in words is "eight million, twenty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 104 130 172 215 260 344 359 430 520 559 718 860 1118 1436 1720 1795 2236 2795 2872 3590 4472 4667 5590 7180 9334 11180 14360 15437 18668 22360 23335 30874 37336 46670 61748 77185 93340 123496 154370 186680 200681 308740 401362 617480 802724 1003405 1605448 2006810 4013620 8027240