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8023405 = 5131753137
BaseRepresentation
bin11110100110110101101101
3120002122001011
4132212311231
54023222110
6443545221
7125124565
oct36466555
916078034
108023405
114590115
12282b211
13187bca0
1410cbda5
15a8748a
hex7a6d6d

8023405 has 32 divisors (see below), whose sum is σ = 11267424. Its totient is φ = 5431296.

The previous prime is 8023403. The next prime is 8023409. The reversal of 8023405 is 5043208.

It can be written as a sum of positive squares in 16 ways, for example, as 958441 + 7064964 = 979^2 + 2658^2 .

It is not a de Polignac number, because 8023405 - 21 = 8023403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8023403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58497 + ... + 58633.

It is an arithmetic number, because the mean of its divisors is an integer number (352107).

Almost surely, 28023405 is an apocalyptic number.

8023405 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8023405 is a deficient number, since it is larger than the sum of its proper divisors (3244019).

8023405 is a wasteful number, since it uses less digits than its factorization.

8023405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 8023405 is about 2832.5615615552. The cubic root of 8023405 is about 200.1948517690.

The spelling of 8023405 in words is "eight million, twenty-three thousand, four hundred five".

Divisors: 1 5 13 17 53 65 85 137 221 265 685 689 901 1105 1781 2329 3445 4505 7261 8905 11645 11713 30277 36305 58565 94393 123437 151385 471965 617185 1604681 8023405