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73081320 = 23351379593
BaseRepresentation
bin1000101101100…
…10000111101000
312002111220201120
410112302013220
5122202100240
611130215240
71545116034
oct426620750
9162456646
1073081320
1138286094
1220584520
13121aa1b0
1499c51c4
156638ad0
hex45b21e8

73081320 has 128 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 17731584.

The previous prime is 73081319. The next prime is 73081367. The reversal of 73081320 is 2318037.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122944 + ... + 123536.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 273081320 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 73081320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

73081320 is an abundant number, since it is smaller than the sum of its proper divisors (166419480).

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

73081320 is a wasteful number, since it uses less digits than its factorization.

73081320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 73081320 is about 8548.7613137811. The cubic root of 73081320 is about 418.0890510271.

Adding to 73081320 its reverse (2318037), we get a palindrome (75399357).

The spelling of 73081320 in words is "seventy-three million, eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 79 104 120 130 156 158 195 237 260 312 316 390 395 474 520 593 632 780 790 948 1027 1185 1186 1560 1580 1779 1896 2054 2370 2372 2965 3081 3160 3558 4108 4740 4744 5135 5930 6162 7116 7709 8216 8895 9480 10270 11860 12324 14232 15405 15418 17790 20540 23127 23720 24648 30810 30836 35580 38545 41080 46254 46847 61620 61672 71160 77090 92508 93694 115635 123240 140541 154180 185016 187388 231270 234235 281082 308360 374776 462540 468470 562164 609011 702705 925080 936940 1124328 1218022 1405410 1827033 1873880 2436044 2810820 3045055 3654066 4872088 5621640 6090110 7308132 9135165 12180220 14616264 18270330 24360440 36540660 73081320