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6468930 = 2335131997
BaseRepresentation
bin11000101011010101000010
3110011122201000
4120223111002
53124001210
6350352430
7105661566
oct30532502
913148630
106468930
113719226
1221bb716
131456590
14c056a6
1587bac0
hex62b542

6468930 has 128 divisors (see below), whose sum is σ = 19756800. Its totient is φ = 1492992.

The previous prime is 6468907. The next prime is 6468967. The reversal of 6468930 is 398646.

6468930 is a `hidden beast` number, since 646 + 8 + 9 + 3 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66642 + ... + 66738.

It is an arithmetic number, because the mean of its divisors is an integer number (154350).

Almost surely, 26468930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6468930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9878400).

6468930 is an abundant number, since it is smaller than the sum of its proper divisors (13287870).

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

6468930 is a wasteful number, since it uses less digits than its factorization.

6468930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6468930 is about 2543.4091294953. The cubic root of 6468930 is about 186.3277260681.

The spelling of 6468930 in words is "six million, four hundred sixty-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 90 95 97 114 117 130 135 171 190 194 195 234 247 270 285 291 342 351 390 485 494 513 570 582 585 702 741 855 873 970 1026 1170 1235 1261 1455 1482 1710 1746 1755 1843 2223 2470 2522 2565 2619 2910 3510 3686 3705 3783 4365 4446 5130 5238 5529 6305 6669 7410 7566 8730 9215 11058 11115 11349 12610 13095 13338 16587 18430 18915 22230 22698 23959 26190 27645 33174 33345 34047 37830 47918 49761 55290 56745 66690 68094 71877 82935 99522 113490 119795 143754 165870 170235 215631 239590 248805 340470 359385 431262 497610 646893 718770 1078155 1293786 2156310 3234465 6468930