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8053040 = 245432341
BaseRepresentation
bin11110101110000100110000
3120011010200202
4132232010300
54030144130
6444334332
7125310152
oct36560460
916133622
108053040
114600406
1228443a8
13188c618
1410d8ad2
15a91145
hex7ae130

8053040 has 40 divisors (see below), whose sum is σ = 19166928. Its totient is φ = 3144960.

The previous prime is 8053021. The next prime is 8053043. The reversal of 8053040 is 403508.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8053043) 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, 2270 + ... + 4610.

Almost surely, 28053040 is an apocalyptic number.

8053040 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 8053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9583464).

8053040 is an abundant number, since it is smaller than the sum of its proper divisors (11113888).

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

8053040 is a wasteful number, since it uses less digits than its factorization.

8053040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 8053040 is about 2837.7878708600. The cubic root of 8053040 is about 200.4410267621.

Adding to 8053040 its reverse (403508), we get a palindrome (8456548).

The spelling of 8053040 in words is "eight million, fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2341 3440 4682 9364 11705 18728 23410 37456 46820 93640 100663 187280 201326 402652 503315 805304 1006630 1610608 2013260 4026520 8053040