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580042080 = 25335134269
BaseRepresentation
bin100010100100101…
…011110101100000
31111102110012011000
4202210223311200
52141442321310
6133320152000
720242163532
oct4244536540
91442405130
10580042080
11278467222
12142308600
139322b687
145706d852
1535dc94c0
hex2292bd60

580042080 has 96 divisors (see below), whose sum is σ = 2030162400. Its totient is φ = 154676736.

The previous prime is 580042019. The next prime is 580042109. The reversal of 580042080 is 80240085.

580042080 is a `hidden beast` number, since 580 + 0 + 4 + 2 + 0 + 80 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62815 + ... + 71454.

It is an arithmetic number, because the mean of its divisors is an integer number (21147525).

Almost surely, 2580042080 is an apocalyptic number.

It is an amenable number.

580042080 is an abundant number, since it is smaller than the sum of its proper divisors (1450120320).

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

580042080 is a wasteful number, since it uses less digits than its factorization.

580042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134293 (or 134279 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 580042080 is about 24084.0627801872. The cubic root of 580042080 is about 833.9752593458.

The spelling of 580042080 in words is "five hundred eighty million, forty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 134269 268538 402807 537076 671345 805614 1074152 1208421 1342690 1611228 2014035 2148304 2416842 2685380 3222456 3625263 4028070 4296608 4833684 5370760 6042105 6444912 7250526 8056140 9667368 10741520 12084210 12889824 14501052 16112280 18126315 19334736 21483040 24168420 29002104 32224560 36252630 38669472 48336840 58004208 64449120 72505260 96673680 116008416 145010520 193347360 290021040 580042080