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531067020 = 2235113072621
BaseRepresentation
bin11111101001110…
…111000010001100
31101000021222222220
4133221313002030
52041423121040
6124410335340
716105665231
oct3751670214
91330258886
10531067020
11252856570
12129a2a550
1386041953
1450761788
15319532d0
hex1fa7708c

531067020 has 96 divisors (see below), whose sum is σ = 1628073216. Its totient is φ = 128275200.

The previous prime is 531067013. The next prime is 531067027. The reversal of 531067020 is 20760135.

It is an interprime number because it is at equal distance from previous prime (531067013) and next prime (531067027).

It is a super-3 number, since 3×5310670203 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (531067027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201310 + ... + 203930.

It is an arithmetic number, because the mean of its divisors is an integer number (16959096).

Almost surely, 2531067020 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 531067020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814036608).

531067020 is an abundant number, since it is smaller than the sum of its proper divisors (1097006196).

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

531067020 is a wasteful number, since it uses less digits than its factorization.

531067020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 531067020 is about 23044.8914078587. The cubic root of 531067020 is about 809.8099538898.

The spelling of 531067020 in words is "five hundred thirty-one million, sixty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 614 660 921 1228 1535 1842 2621 3070 3377 3684 4605 5242 6140 6754 7863 9210 10131 10484 13105 13508 15726 16885 18420 20262 26210 28831 31452 33770 39315 40524 50655 52420 57662 67540 78630 86493 101310 115324 144155 157260 172986 202620 288310 345972 432465 576620 804647 864930 1609294 1729860 2413941 3218588 4023235 4827882 8046470 8851117 9655764 12069705 16092940 17702234 24139410 26553351 35404468 44255585 48278820 53106702 88511170 106213404 132766755 177022340 265533510 531067020