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580612020 = 223531541577
BaseRepresentation
bin100010100110110…
…110111110110100
31111110112010221220
4202212312332310
52142114041040
6133340310340
720250056262
oct4246667664
91443463856
10580612020
1127881644a
121425423b0
139339ac11
145717b432
1535e8d2d0
hex229b6fb4

580612020 has 96 divisors (see below), whose sum is σ = 1684171776. Its totient is φ = 149299200.

The previous prime is 580612003. The next prime is 580612079. The reversal of 580612020 is 20216085.

It is a super-2 number, since 2×5806120202 = 674220635536960800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1005972 + ... + 1006548.

It is an arithmetic number, because the mean of its divisors is an integer number (17543456).

Almost surely, 2580612020 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 580612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842085888).

580612020 is an abundant number, since it is smaller than the sum of its proper divisors (1103559756).

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

580612020 is a wasteful number, since it uses less digits than its factorization.

580612020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1159 counting only the distinct ones).

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

The square root of 580612020 is about 24095.8921810337. The cubic root of 580612020 is about 834.2483201468.

The spelling of 580612020 in words is "five hundred eighty million, six hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 541 577 620 930 1082 1154 1623 1731 1860 2164 2308 2705 2885 3246 3462 5410 5770 6492 6924 8115 8655 10820 11540 16230 16771 17310 17887 32460 33542 34620 35774 50313 53661 67084 71548 83855 89435 100626 107322 167710 178870 201252 214644 251565 268305 312157 335420 357740 503130 536610 624314 936471 1006260 1073220 1248628 1560785 1872942 3121570 3745884 4682355 6243140 9364710 9676867 18729420 19353734 29030601 38707468 48384335 58061202 96768670 116122404 145153005 193537340 290306010 580612020