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900000780 = 2235718111839
BaseRepresentation
bin110101101001001…
…110110000001100
32022201111202222020
4311221032300030
53320400011110
6225150050140
731205610660
oct6551166014
92281452866
10900000780
114220329a8
122114a9950
131145c6b53
148775a8a0
155402bd70
hex35a4ec0c

900000780 has 96 divisors (see below), whose sum is σ = 2896158720. Its totient is φ = 204560640.

The previous prime is 900000779. The next prime is 900000781. The reversal of 900000780 is 87000009.

It is an interprime number because it is at equal distance from previous prime (900000779) and next prime (900000781).

It is a self number, because there is not a number n which added to its sum of digits gives 900000780.

It is not an unprimeable number, because it can be changed into a prime (900000781) 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, 70101 + ... + 81939.

It is an arithmetic number, because the mean of its divisors is an integer number (30168320).

Almost surely, 2900000780 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 900000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448079360).

900000780 is an abundant number, since it is smaller than the sum of its proper divisors (1996157940).

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

900000780 is a wasteful number, since it uses less digits than its factorization.

900000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12039 (or 12037 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 900000780 is about 30000.0129999972. The cubic root of 900000780 is about 965.4896635247.

Adding to 900000780 its reverse (87000009), we get a palindrome (987000789).

The spelling of 900000780 in words is "nine hundred million, seven hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 181 210 362 420 543 724 905 1086 1267 1810 2172 2534 2715 3620 3801 5068 5430 6335 7602 10860 11839 12670 15204 19005 23678 25340 35517 38010 47356 59195 71034 76020 82873 118390 142068 165746 177585 236780 248619 331492 355170 414365 497238 710340 828730 994476 1243095 1657460 2142859 2486190 4285718 4972380 6428577 8571436 10714295 12857154 15000013 21428590 25714308 30000026 32142885 42857180 45000039 60000052 64285770 75000065 90000078 128571540 150000130 180000156 225000195 300000260 450000390 900000780