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721664460 = 22325111919183
BaseRepresentation
bin101011000000111…
…011100111001100
31212021221100112100
4223000323213030
52434221230320
6155335435100
723612022006
oct5300734714
91767840470
10721664460
113403a7210
12181825a90
13b66862ba
146bbb7376
1543551790
hex2b03b9cc

721664460 has 144 divisors (see below), whose sum is σ = 2513871360. Its totient is φ = 165732480.

The previous prime is 721664431. The next prime is 721664477. The reversal of 721664460 is 64466127.

721664460 is a `hidden beast` number, since 7 + 2 + 1 + 6 + 644 + 6 + 0 = 666.

721664460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28029 + ... + 47211.

It is an arithmetic number, because the mean of its divisors is an integer number (17457440).

Almost surely, 2721664460 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 721664460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256935680).

721664460 is an abundant number, since it is smaller than the sum of its proper divisors (1792206900).

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

721664460 is a wasteful number, since it uses less digits than its factorization.

721664460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19228 (or 19223 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 721664460 is about 26863.8132066168. The cubic root of 721664460 is about 896.9710769450.

The spelling of 721664460 in words is "seven hundred twenty-one million, six hundred sixty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 19183 37620 38366 57549 76732 95915 115098 172647 191830 211013 230196 287745 345294 364477 383660 422026 575490 633039 690588 728954 844052 863235 1055065 1093431 1150980 1266078 1457908 1726470 1822385 1899117 2110130 2186862 2532156 3165195 3280293 3452940 3644770 3798234 4009247 4220260 4373724 5467155 6330390 6560586 7289540 7596468 8018494 9495585 10934310 12027741 12660780 13121172 16036988 16401465 18991170 20046235 21868620 24055482 32802930 36083223 37982340 40092470 48110964 60138705 65605860 72166446 80184940 120277410 144332892 180416115 240554820 360832230 721664460