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8265040 = 245714759
BaseRepresentation
bin11111100001110101010000
3120112220111121
4133201311100
54103440130
6453052024
7130152220
oct37416520
916486447
108265040
114735713
122927014
131934c74
141152080
15ad3d7a
hex7e1d50

8265040 has 40 divisors (see below), whose sum is σ = 21962880. Its totient is φ = 2833536.

The previous prime is 8265017. The next prime is 8265041. The reversal of 8265040 is 405628.

8265040 is digitally balanced in base 8, 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 (40).

8265040 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 8264996 and 8265014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8265041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6820 + ... + 7939.

It is an arithmetic number, because the mean of its divisors is an integer number (549072).

Almost surely, 28265040 is an apocalyptic number.

8265040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8265040 is an abundant number, since it is smaller than the sum of its proper divisors (13697840).

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

8265040 is a wasteful number, since it uses less digits than its factorization.

8265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14779 (or 14773 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 8265040 is about 2874.8982590694. The cubic root of 8265040 is about 202.1847148746.

The spelling of 8265040 in words is "eight million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 14759 29518 59036 73795 103313 118072 147590 206626 236144 295180 413252 516565 590360 826504 1033130 1180720 1653008 2066260 4132520 8265040