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10327380 = 2235767367
BaseRepresentation
bin100111011001…
…010101010100
3201102200111120
4213121111110
510120434010
61005203540
7153531660
oct47312524
921380446
1010327380
115914128
1235605b0
1321a789b
14152b8a0
15d8ee70
hex9d9554

10327380 has 96 divisors (see below), whose sum is σ = 33632256. Its totient is φ = 2318976.

The previous prime is 10327379. The next prime is 10327397. The reversal of 10327380 is 8372301.

10327380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10327380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27957 + ... + 28323.

It is an arithmetic number, because the mean of its divisors is an integer number (350336).

Almost surely, 210327380 is an apocalyptic number.

10327380 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 10327380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816128).

10327380 is an abundant number, since it is smaller than the sum of its proper divisors (23304876).

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

10327380 is a wasteful number, since it uses less digits than its factorization.

10327380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10327380 is about 3213.6241223889. The cubic root of 10327380 is about 217.7693320880.

Adding to 10327380 its reverse (8372301), we get a palindrome (18699681).

The spelling of 10327380 in words is "ten million, three hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 367 402 420 469 670 734 804 938 1005 1101 1340 1407 1468 1835 1876 2010 2202 2345 2569 2814 3670 4020 4404 4690 5138 5505 5628 7035 7340 7707 9380 10276 11010 12845 14070 15414 22020 24589 25690 28140 30828 38535 49178 51380 73767 77070 98356 122945 147534 154140 172123 245890 295068 344246 368835 491780 516369 688492 737670 860615 1032738 1475340 1721230 2065476 2581845 3442460 5163690 10327380