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8145340 = 225773797
BaseRepresentation
bin11111000100100110111100
3120022211022021
4133010212330
54041122330
6450325524
7126143230
oct37044674
916284267
108145340
114663795
1228898a4
1318c2638
1411205c0
15aad67a
hex7c49bc

8145340 has 48 divisors (see below), whose sum is σ = 19841472. Its totient is φ = 2750976.

The previous prime is 8145337. The next prime is 8145349. The reversal of 8145340 is 435418.

8145340 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8145349) 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 15 ways as a sum of consecutive naturals, for example, 9822 + ... + 10618.

It is an arithmetic number, because the mean of its divisors is an integer number (413364).

Almost surely, 28145340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920736).

8145340 is an abundant number, since it is smaller than the sum of its proper divisors (11696132).

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

8145340 is a wasteful number, since it uses less digits than its factorization.

8145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 884 counting only the distinct ones).

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

The square root of 8145340 is about 2854.0042046220. The cubic root of 8145340 is about 201.2039051871.

The spelling of 8145340 in words is "eight million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 365 511 730 797 1022 1460 1594 2044 2555 3188 3985 5110 5579 7970 10220 11158 15940 22316 27895 55790 58181 111580 116362 232724 290905 407267 581810 814534 1163620 1629068 2036335 4072670 8145340