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580529070 = 232511619613
BaseRepresentation
bin100010100110100…
…010101110101110
31111110100221011200
4202212202232232
52142103412240
6133334430330
720246262402
oct4246425656
91443327150
10580529070
1127876a0a0
121425023a6
139336c234
1457159102
1535e73930
hex229a2bae

580529070 has 96 divisors (see below), whose sum is σ = 1673758944. Its totient is φ = 138412800.

The previous prime is 580529063. The next prime is 580529077. The reversal of 580529070 is 70925085.

580529070 is a `hidden beast` number, since 580 + 5 + 2 + 9 + 0 + 70 = 666.

580529070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (580529063) and next prime (580529077).

It is a super-2 number, since 2×5805290702 = 674028002230129800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (580529077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55584 + ... + 65196.

It is an arithmetic number, because the mean of its divisors is an integer number (17434989).

Almost surely, 2580529070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 580529070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836879472).

580529070 is an abundant number, since it is smaller than the sum of its proper divisors (1093229874).

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

580529070 is a wasteful number, since it uses less digits than its factorization.

580529070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9698 (or 9695 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 580529070 is about 24094.1708718105. The cubic root of 580529070 is about 834.2085895456.

The spelling of 580529070 in words is "five hundred eighty million, five hundred twenty-nine thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 61 66 90 99 110 122 165 183 198 305 330 366 495 549 610 671 915 990 1098 1342 1830 2013 2745 3355 4026 5490 6039 6710 9613 10065 12078 19226 20130 28839 30195 48065 57678 60390 86517 96130 105743 144195 173034 211486 288390 317229 432585 528715 586393 634458 865170 951687 1057430 1172786 1586145 1759179 1903374 2931965 3172290 3518358 4758435 5277537 5863930 6450323 8795895 9516870 10555074 12900646 17591790 19350969 26387685 32251615 38701938 52775370 58052907 64503230 96754845 116105814 193509690 290264535 580529070