[go: up one dir, main page]

Search a number
-
+
6330720 = 2535112109
BaseRepresentation
bin11000001001100101100000
3102220122010010
4120021211200
53110040340
6343404520
7104544624
oct30114540
912818103
106330720
113634400
122153740
1314086b6
14bab184
15850b80
hex609960

6330720 has 144 divisors (see below), whose sum is σ = 22120560. Its totient is φ = 1520640.

The previous prime is 6330719. The next prime is 6330733. The reversal of 6330720 is 270336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58026 + ... + 58134.

It is an arithmetic number, because the mean of its divisors is an integer number (153615).

Almost surely, 26330720 is an apocalyptic number.

6330720 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 6330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060280).

6330720 is an abundant number, since it is smaller than the sum of its proper divisors (15789840).

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

6330720 is a wasteful number, since it uses less digits than its factorization.

6330720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 6330720 is about 2516.0922081673. The cubic root of 6330720 is about 184.9911853604.

The spelling of 6330720 in words is "six million, three hundred thirty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 109 110 120 121 132 160 165 176 218 220 240 242 264 327 330 352 363 436 440 480 484 528 545 605 654 660 726 872 880 968 1056 1090 1199 1210 1308 1320 1452 1635 1744 1760 1815 1936 2180 2398 2420 2616 2640 2904 3270 3488 3597 3630 3872 4360 4796 4840 5232 5280 5808 5995 6540 7194 7260 8720 9592 9680 10464 11616 11990 13080 13189 14388 14520 17440 17985 19184 19360 23980 26160 26378 28776 29040 35970 38368 39567 47960 52320 52756 57552 58080 65945 71940 79134 95920 105512 115104 131890 143880 158268 191840 197835 211024 263780 287760 316536 395670 422048 527560 575520 633072 791340 1055120 1266144 1582680 2110240 3165360 6330720