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410056660 = 2251317113821
BaseRepresentation
bin11000011100001…
…111011111010100
31001120121000222201
4120130033133110
51314433303120
6104404534244
713106265316
oct3034173724
91046530881
10410056660
111a0514702
12b53b1384
1366c52ba0
143c6617b6
1525eed40a
hex1870f7d4

410056660 has 96 divisors (see below), whose sum is σ = 991805472. Its totient is φ = 141066240.

The previous prime is 410056649. The next prime is 410056663. The reversal of 410056660 is 66650014.

It can be written as a sum of positive squares in 16 ways, for example, as 273307024 + 136749636 = 16532^2 + 11694^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410056663) 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, 499050 + ... + 499870.

It is an arithmetic number, because the mean of its divisors is an integer number (10331307).

Almost surely, 2410056660 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 410056660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495902736).

410056660 is an abundant number, since it is smaller than the sum of its proper divisors (581748812).

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

410056660 is a wasteful number, since it uses less digits than its factorization.

410056660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 410056660 is about 20249.8558019557. The cubic root of 410056660 is about 742.9301040975.

The spelling of 410056660 in words is "four hundred ten million, fifty-six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 113 130 170 221 226 260 340 442 452 565 821 884 1105 1130 1469 1642 1921 2210 2260 2938 3284 3842 4105 4420 5876 7345 7684 8210 9605 10673 13957 14690 16420 19210 21346 24973 27914 29380 38420 42692 49946 53365 55828 69785 92773 99892 106730 124865 139570 181441 185546 213460 249730 279140 362882 371092 463865 499460 725764 907205 927730 1206049 1577141 1814410 1855460 2412098 3154282 3628820 4824196 6030245 6308564 7885705 12060490 15771410 20502833 24120980 31542820 41005666 82011332 102514165 205028330 410056660