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480133080 = 233257190529
BaseRepresentation
bin11100100111100…
…011111111011000
31020110110021202200
4130213203333120
51440403224310
6115350530200
714620030620
oct3447437730
91213407680
10480133080
112270280a9
12114966960
137861a41b
1447aa3880
152c2419c0
hex1c9e3fd8

480133080 has 96 divisors (see below), whose sum is σ = 1783360800. Its totient is φ = 109744128.

The previous prime is 480133067. The next prime is 480133103. The reversal of 480133080 is 80331084.

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, 92745 + ... + 97784.

It is an arithmetic number, because the mean of its divisors is an integer number (18576675).

Almost surely, 2480133080 is an apocalyptic number.

480133080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480133080 is an abundant number, since it is smaller than the sum of its proper divisors (1303227720).

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

480133080 is a wasteful number, since it uses less digits than its factorization.

480133080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190553 (or 190546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480133080 is about 21911.9392113067. The cubic root of 480133080 is about 783.0458813511.

The spelling of 480133080 in words is "four hundred eighty million, one hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 190529 381058 571587 762116 952645 1143174 1333703 1524232 1714761 1905290 2286348 2667406 2857935 3429522 3810580 4001109 4572696 5334812 5715870 6668515 6859044 7621160 8002218 8573805 10669624 11431740 12003327 13337030 13718088 16004436 17147610 20005545 22863480 24006654 26674060 32008872 34295220 40011090 48013308 53348120 60016635 68590440 80022180 96026616 120033270 160044360 240066540 480133080