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6819930 = 2335132967
BaseRepresentation
bin11010000001000001011010
3110211111012000
4122001001122
53221214210
6402101430
7111653115
oct32010132
913744160
106819930
113938a07
12234a876
13154a280
14c9757c
158eaac0
hex68105a

6819930 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 1596672.

The previous prime is 6819913. The next prime is 6819931. The reversal of 6819930 is 399186.

It is a super-2 number, since 2×68199302 = 93022890409800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6819931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101757 + ... + 101823.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 26819930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6819930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6819930 is an abundant number, since it is smaller than the sum of its proper divisors (13743270).

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

6819930 is a wasteful number, since it uses less digits than its factorization.

6819930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 6819930 is about 2611.4995692131. The cubic root of 6819930 is about 189.6385556905.

The spelling of 6819930 in words is "six million, eight hundred nineteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 29 30 39 45 54 58 65 67 78 87 90 117 130 134 135 145 174 195 201 234 261 270 290 335 351 377 390 402 435 522 585 603 670 702 754 783 870 871 1005 1131 1170 1206 1305 1566 1742 1755 1809 1885 1943 2010 2262 2610 2613 3015 3393 3510 3618 3770 3886 3915 4355 5226 5655 5829 6030 6786 7830 7839 8710 9045 9715 10179 11310 11658 13065 15678 16965 17487 18090 19430 20358 23517 25259 26130 29145 33930 34974 39195 47034 50518 50895 52461 58290 75777 78390 87435 101790 104922 117585 126295 151554 174870 227331 235170 252590 262305 378885 454662 524610 681993 757770 1136655 1363986 2273310 3409965 6819930