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6816140 = 2253761151
BaseRepresentation
bin11010000000000110001100
3110211021222122
4122000012030
53221104030
6402032112
7111636062
oct32000614
913737878
106816140
113936081
122348638
131548626
14c96032
158e98e5
hex68018c

6816140 has 48 divisors (see below), whose sum is σ = 15040704. Its totient is φ = 2592000.

The previous prime is 6816137. The next prime is 6816149. The reversal of 6816140 is 416186.

It is not an unprimeable number, because it can be changed into a prime (6816149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45065 + ... + 45215.

It is an arithmetic number, because the mean of its divisors is an integer number (313348).

Almost surely, 26816140 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 6816140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520352).

6816140 is an abundant number, since it is smaller than the sum of its proper divisors (8224564).

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

6816140 is a wasteful number, since it uses less digits than its factorization.

6816140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 6816140 is about 2610.7738316446. The cubic root of 6816140 is about 189.6034202710.

The spelling of 6816140 in words is "six million, eight hundred sixteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 151 185 244 302 305 370 604 610 740 755 1220 1510 2257 3020 4514 5587 9028 9211 11174 11285 18422 22348 22570 27935 36844 45140 46055 55870 92110 111740 184220 340807 681614 1363228 1704035 3408070 6816140