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8540385 = 357163499
BaseRepresentation
bin100000100101…
…000011100001
3121001220012120
4200211003201
54141243020
6503014453
7132410040
oct40450341
917056176
108540385
114903577
122a3a429
131a003a9
1411c4557
15b3a740
hex8250e1

8540385 has 32 divisors (see below), whose sum is σ = 15744000. Its totient is φ = 3872448.

The previous prime is 8540381. The next prime is 8540387. The reversal of 8540385 is 5830458.

It is a happy number.

8540385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8540385 - 22 = 8540381 is a prime.

It is a Curzon number.

8540385 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8540381) 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, 16866 + ... + 17364.

It is an arithmetic number, because the mean of its divisors is an integer number (492000).

Almost surely, 28540385 is an apocalyptic number.

It is an amenable number.

8540385 is a deficient number, since it is larger than the sum of its proper divisors (7203615).

8540385 is a wasteful number, since it uses less digits than its factorization.

8540385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 8540385 is about 2922.3937106420. The cubic root of 8540385 is about 204.4054556265.

It can be divided in two parts, 85 and 40385, that added together give a triangular number (40470 = T284).

The spelling of 8540385 in words is "eight million, five hundred forty thousand, three hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 163 489 499 815 1141 1497 2445 2495 3423 3493 5705 7485 10479 17115 17465 52395 81337 244011 406685 569359 1220055 1708077 2846795 8540385