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8043920 = 245100549
BaseRepresentation
bin11110101011110110010000
3120010200011222
4132223312100
54024401140
6444224212
7125241443
oct36536620
916120158
108043920
1145a4575
12283b068
131888421
1410d565a
15a8d5b5
hex7abd90

8043920 has 20 divisors (see below), whose sum is σ = 18702300. Its totient is φ = 3217536.

The previous prime is 8043899. The next prime is 8043923. The reversal of 8043920 is 293408.

It can be written as a sum of positive squares in 2 ways, for example, as 2808976 + 5234944 = 1676^2 + 2288^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8043920.

It is not an unprimeable number, because it can be changed into a prime (8043923) 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 3 ways as a sum of consecutive naturals, for example, 50195 + ... + 50354.

It is an arithmetic number, because the mean of its divisors is an integer number (935115).

Almost surely, 28043920 is an apocalyptic number.

8043920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8043920 is an abundant number, since it is smaller than the sum of its proper divisors (10658380).

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

8043920 is a wasteful number, since it uses less digits than its factorization.

8043920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100562 (or 100556 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 8043920 is about 2836.1805302202. The cubic root of 8043920 is about 200.3653322554.

The spelling of 8043920 in words is "eight million, forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 100549 201098 402196 502745 804392 1005490 1608784 2010980 4021960 8043920