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580214016 = 28363109
BaseRepresentation
bin100010100101010…
…101110100000000
31111102202221000000
4202211111310000
52142013322031
6133324000000
720243511024
oct4245256400
91442687000
10580214016
11278574418
12142390000
139328ba05
14570b6384
1535e103e6
hex22955d00

580214016 has 126 divisors (see below), whose sum is σ = 1737006530. Its totient is φ = 193342464.

The previous prime is 580213987. The next prime is 580214023. The reversal of 580214016 is 610412085.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 167961600 = 20304^2 + 12960^2 .

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 (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 185070 + ... + 188178.

Almost surely, 2580214016 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 580214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868503265).

580214016 is an abundant number, since it is smaller than the sum of its proper divisors (1156792514).

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

580214016 is an frugal number, since it uses more digits than its factorization.

580214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 580214016 is about 24087.6320131307. The cubic root of 580214016 is about 834.0576534855.

The spelling of 580214016 in words is "five hundred eighty million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3109 3456 3888 5184 5832 6218 6912 7776 9327 10368 11664 12436 15552 18654 20736 23328 24872 27981 31104 37308 46656 49744 55962 62208 74616 83943 93312 99488 111924 149232 167886 186624 198976 223848 251829 298464 335772 397952 447696 503658 596928 671544 755487 795904 895392 1007316 1193856 1343088 1510974 1790784 2014632 2266461 2387712 2686176 3021948 3581568 4029264 4532922 5372352 6043896 7163136 8058528 9065844 10744704 12087792 16117056 18131688 21489408 24175584 32234112 36263376 48351168 64468224 72526752 96702336 145053504 193404672 290107008 580214016