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8028240 = 2435113041
BaseRepresentation
bin11110101000000001010000
3120002212200020
4132220001100
54023400430
6444023440
7125144643
oct36500120
916085606
108028240
114593810
122831b80
13188124c
1410cda5a
15a88b10
hex7a8050

8028240 has 80 divisors (see below), whose sum is σ = 27158976. Its totient is φ = 1945600.

The previous prime is 8028227. The next prime is 8028247. The reversal of 8028240 is 428208.

It is a tau number, because it is divible by the number of its divisors (80).

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 8028240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8028247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120 + ... + 4160.

Almost surely, 28028240 is an apocalyptic number.

8028240 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 8028240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13579488).

8028240 is an abundant number, since it is smaller than the sum of its proper divisors (19130736).

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

8028240 is a wasteful number, since it uses less digits than its factorization.

8028240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3062 counting only the distinct ones).

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

The square root of 8028240 is about 2833.4149007867. The cubic root of 8028240 is about 200.2350569662.

The spelling of 8028240 in words is "eight million, twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3041 6082 9123 12164 15205 18246 24328 30410 33451 36492 45615 48656 60820 66902 72984 91230 100353 121640 133804 145968 167255 182460 200706 243280 267608 334510 364920 401412 501765 535216 669020 729840 802824 1003530 1338040 1605648 2007060 2676080 4014120 8028240