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6406140 = 22351343191
BaseRepresentation
bin11000011011111111111100
3110001110120110
4120123333330
53114444030
6345150020
7105310536
oct30337774
913043513
106406140
113686034
12218b310
131433b20
14bca856
158681b0
hex61bffc

6406140 has 96 divisors (see below), whose sum is σ = 19869696. Its totient is φ = 1532160.

The previous prime is 6406123. The next prime is 6406151. The reversal of 6406140 is 416046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33445 + ... + 33635.

It is an arithmetic number, because the mean of its divisors is an integer number (206976).

Almost surely, 26406140 is an apocalyptic number.

6406140 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9934848).

6406140 is an abundant number, since it is smaller than the sum of its proper divisors (13463556).

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

6406140 is a wasteful number, since it uses less digits than its factorization.

6406140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6406140 is about 2531.0353612702. The cubic root of 6406140 is about 185.7229080246.

The spelling of 6406140 in words is "six million, four hundred six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 191 195 215 258 260 382 390 430 516 559 573 645 764 780 860 955 1118 1146 1290 1677 1910 2236 2292 2483 2580 2795 2865 3354 3820 4966 5590 5730 6708 7449 8213 8385 9932 11180 11460 12415 14898 16426 16770 24639 24830 29796 32852 33540 37245 41065 49278 49660 74490 82130 98556 106769 123195 148980 164260 213538 246390 320307 427076 492780 533845 640614 1067690 1281228 1601535 2135380 3203070 6406140