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1006020 = 2237523
BaseRepresentation
bin11110101100111000100
31220010000000
43311213010
5224143040
633321300
711360001
oct3654704
91803000
101006020
11627924
12406230
13292ba2
141c28a8
1514d130
hexf59c4

1006020 has 96 divisors (see below), whose sum is σ = 3306240. Its totient is φ = 256608.

The previous prime is 1006007. The next prime is 1006021. The reversal of 1006020 is 206001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1005993 and 1006011.

It is not an unprimeable number, because it can be changed into a prime (1006021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 43729 + ... + 43751.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

21006020 is an apocalyptic number.

1006020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653120).

1006020 is an abundant number, since it is smaller than the sum of its proper divisors (2300220).

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

1006020 is an equidigital number, since it uses as much as digits as its factorization.

1006020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1006020 is about 1003.0054835344. The cubic root of 1006020 is about 100.2002653369.

The spelling of 1006020 in words is "one million, six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 729 810 828 972 1035 1215 1242 1380 1458 1620 1863 2070 2187 2430 2484 2916 3105 3645 3726 4140 4374 4860 5589 6210 7290 7452 8748 9315 10935 11178 12420 14580 16767 18630 21870 22356 27945 33534 37260 43740 50301 55890 67068 83835 100602 111780 167670 201204 251505 335340 503010 1006020