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665929680 = 243513613499
BaseRepresentation
bin100111101100010…
…100011111010000
31201102001201210020
4213230110133100
52330434222210
6150025103440
722334210643
oct4754243720
91642051706
10665929680
11311999909
12167027b80
13a7c70840
1464629a5a
153d6e2770
hex27b147d0

665929680 has 160 divisors (see below), whose sum is σ = 2260272000. Its totient is φ = 161187840.

The previous prime is 665929657. The next prime is 665929681. The reversal of 665929680 is 86929566.

665929680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665929681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188571 + ... + 192069.

It is an arithmetic number, because the mean of its divisors is an integer number (14126700).

Almost surely, 2665929680 is an apocalyptic number.

665929680 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 665929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130136000).

665929680 is an abundant number, since it is smaller than the sum of its proper divisors (1594342320).

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

665929680 is a wasteful number, since it uses less digits than its factorization.

665929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The square root of 665929680 is about 25805.6133428369. The cubic root of 665929680 is about 873.2584374648.

The spelling of 665929680 in words is "six hundred sixty-five million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 61 65 78 80 104 120 122 130 156 183 195 208 240 244 260 305 312 366 390 488 520 610 624 732 780 793 915 976 1040 1220 1464 1560 1586 1830 2379 2440 2928 3120 3172 3499 3660 3965 4758 4880 6344 6998 7320 7930 9516 10497 11895 12688 13996 14640 15860 17495 19032 20994 23790 27992 31720 34990 38064 41988 45487 47580 52485 55984 63440 69980 83976 90974 95160 104970 136461 139960 167952 181948 190320 209940 213439 227435 272922 279920 363896 419880 426878 454870 545844 640317 682305 727792 839760 853756 909740 1067195 1091688 1280634 1364610 1707512 1819480 2134390 2183376 2561268 2729220 2774707 3201585 3415024 3638960 4268780 5122536 5458440 5549414 6403170 8324121 8537560 10245072 10916880 11098828 12806340 13873535 16648242 17075120 22197656 25612680 27747070 33296484 41620605 44395312 51225360 55494140 66592968 83241210 110988280 133185936 166482420 221976560 332964840 665929680