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10326080 = 26523261
BaseRepresentation
bin100111011001…
…000001000000
3201102121201102
4213121001000
510120413310
61005153532
7153525122
oct47310100
921377642
1010326080
115913156
12355b8a8
1321a710b
14152b212
15d8e8a5
hex9d9040

10326080 has 84 divisors (see below), whose sum is σ = 26125932. Its totient is φ = 3886080.

The previous prime is 10326077. The next prime is 10326091. The reversal of 10326080 is 8062301.

10326080 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 8667136 = 1288^2 + 2944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169250 + ... + 169310.

It is an arithmetic number, because the mean of its divisors is an integer number (311023).

Almost surely, 210326080 is an apocalyptic number.

10326080 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 10326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062966).

10326080 is an abundant number, since it is smaller than the sum of its proper divisors (15799852).

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

10326080 is an equidigital number, since it uses as much as digits as its factorization.

10326080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10326080 is about 3213.4218521694. The cubic root of 10326080 is about 217.7601941778.

Adding to 10326080 its reverse (8062301), we get a palindrome (18388381).

The spelling of 10326080 in words is "ten million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 61 64 80 92 115 122 160 184 230 244 305 320 368 460 488 529 610 736 920 976 1058 1220 1403 1472 1840 1952 2116 2440 2645 2806 3680 3904 4232 4880 5290 5612 7015 7360 8464 9760 10580 11224 14030 16928 19520 21160 22448 28060 32269 33856 42320 44896 56120 64538 84640 89792 112240 129076 161345 169280 224480 258152 322690 448960 516304 645380 1032608 1290760 2065216 2581520 5163040 10326080