[go: up one dir, main page]

Search a number
-
+
320065680 = 243511412957
BaseRepresentation
bin10011000100111…
…101000010010000
3211022021000120110
4103010331002100
51123414100210
651432041320
710634341044
oct2304750220
9738230513
10320065680
1115473a0a0
128b233240
135140509c
1430718024
151d174420
hex1313d090

320065680 has 160 divisors (see below), whose sum is σ = 1109179008. Its totient is φ = 75673600.

The previous prime is 320065673. The next prime is 320065717. The reversal of 320065680 is 86560023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106762 + ... + 109718.

Almost surely, 2320065680 is an apocalyptic number.

320065680 is a gapful number since it is divisible by the number (30) 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 320065680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554589504).

320065680 is an abundant number, since it is smaller than the sum of its proper divisors (789113328).

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

320065680 is a wasteful number, since it uses less digits than its factorization.

320065680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3025 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 320065680 is about 17890.3795376174. The cubic root of 320065680 is about 684.0371718111.

The spelling of 320065680 in words is "three hundred twenty million, sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 41 44 48 55 60 66 80 82 88 110 120 123 132 164 165 176 205 220 240 246 264 328 330 410 440 451 492 528 615 656 660 820 880 902 984 1230 1320 1353 1640 1804 1968 2255 2460 2640 2706 2957 3280 3608 4510 4920 5412 5914 6765 7216 8871 9020 9840 10824 11828 13530 14785 17742 18040 21648 23656 27060 29570 32527 35484 36080 44355 47312 54120 59140 65054 70968 88710 97581 108240 118280 121237 130108 141936 162635 177420 195162 236560 242474 260216 325270 354840 363711 390324 484948 487905 520432 606185 650540 709680 727422 780648 969896 975810 1212370 1301080 1333607 1454844 1561296 1818555 1939792 1951620 2424740 2602160 2667214 2909688 3637110 3903240 4000821 4849480 5334428 5819376 6668035 7274220 7806480 8001642 9698960 10668856 13336070 14548440 16003284 20004105 21337712 26672140 29096880 32006568 40008210 53344280 64013136 80016420 106688560 160032840 320065680