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58030080 = 211351889
BaseRepresentation
bin1101110101011…
…1100000000000
311001012020022020
43131113200000
5104323430310
65431441440
71303150623
oct335274000
9131166266
1058030080
112a835949
1217526280
13c03a434
1479c7dba
155164170
hex3757800

58030080 has 96 divisors (see below), whose sum is σ = 185749200. Its totient is φ = 15466496.

The previous prime is 58030069. The next prime is 58030087. The reversal of 58030080 is 8003085.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58030080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58030087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29776 + ... + 31664.

Almost surely, 258030080 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 58030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92874600).

58030080 is an abundant number, since it is smaller than the sum of its proper divisors (127719120).

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

58030080 is a wasteful number, since it uses less digits than its factorization.

58030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58030080 is about 7617.7476986311. The cubic root of 58030080 is about 387.1545697217.

The spelling of 58030080 in words is "fifty-eight million, thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1889 1920 2048 2560 3072 3778 3840 5120 5667 6144 7556 7680 9445 10240 11334 15112 15360 18890 22668 28335 30224 30720 37780 45336 56670 60448 75560 90672 113340 120896 151120 181344 226680 241792 302240 362688 453360 483584 604480 725376 906720 967168 1208960 1450752 1813440 1934336 2417920 2901504 3626880 3868672 4835840 5803008 7253760 9671680 11606016 14507520 19343360 29015040 58030080