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8082240 = 26358419
BaseRepresentation
bin11110110101001101000000
3120012121202020
4132311031000
54032112430
6445121440
7125461245
oct36651500
916177666
108082240
114620341
122859280
13189c9ba
1411055cc
15a99b10
hex7b5340

8082240 has 56 divisors (see below), whose sum is σ = 25664160. Its totient is φ = 2155008.

The previous prime is 8082229. The next prime is 8082247. The reversal of 8082240 is 422808.

8082240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8082240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8082247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3250 + ... + 5169.

Almost surely, 28082240 is an apocalyptic number.

8082240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8082240 is an abundant number, since it is smaller than the sum of its proper divisors (17581920).

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

8082240 is a wasteful number, since it uses less digits than its factorization.

8082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8439 (or 8429 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8082240 is about 2842.9280680313. The cubic root of 8082240 is about 200.6829982452.

The spelling of 8082240 in words is "eight million, eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 8419 16838 25257 33676 42095 50514 67352 84190 101028 126285 134704 168380 202056 252570 269408 336760 404112 505140 538816 673520 808224 1010280 1347040 1616448 2020560 2694080 4041120 8082240