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8243040 = 2535131321
BaseRepresentation
bin11111011100011101100000
3120111210022210
4133130131200
54102234130
6452402120
7130031121
oct37343540
916453283
108243040
114720133
122916340
131927c50
141148048
15acc5b0
hex7dc760

8243040 has 96 divisors (see below), whose sum is σ = 27984096. Its totient is φ = 2027520.

The previous prime is 8243033. The next prime is 8243041. The reversal of 8243040 is 403428.

It is a happy number.

8243040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8242998 and 8243016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8243041) 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, 5580 + ... + 6900.

It is an arithmetic number, because the mean of its divisors is an integer number (291501).

Almost surely, 28243040 is an apocalyptic number.

8243040 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 8243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13992048).

8243040 is an abundant number, since it is smaller than the sum of its proper divisors (19741056).

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

8243040 is a wasteful number, since it uses less digits than its factorization.

8243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 8243040 is about 2871.0694871424. The cubic root of 8243040 is about 202.0051627606.

Adding to 8243040 its reverse (403428), we get a palindrome (8646468).

The spelling of 8243040 in words is "eight million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1321 1560 2080 2642 3120 3963 5284 6240 6605 7926 10568 13210 15852 17173 19815 21136 26420 31704 34346 39630 42272 51519 52840 63408 68692 79260 85865 103038 105680 126816 137384 158520 171730 206076 211360 257595 274768 317040 343460 412152 515190 549536 634080 686920 824304 1030380 1373840 1648608 2060760 2747680 4121520 8243040