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10027780 = 2257411747
BaseRepresentation
bin100110010000…
…001100000100
3200212110112021
4212100030010
510031342110
6554532524
7151143340
oct46201404
920773467
1010027780
11572a024
123437144
1321013c9
141490620
15d312da
hex990304

10027780 has 48 divisors (see below), whose sum is σ = 24667776. Its totient is φ = 3352320.

The previous prime is 10027753. The next prime is 10027781. The reversal of 10027780 is 8772001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10027781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4867 + ... + 6613.

It is an arithmetic number, because the mean of its divisors is an integer number (513912).

Almost surely, 210027780 is an apocalyptic number.

10027780 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 10027780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12333888).

10027780 is an abundant number, since it is smaller than the sum of its proper divisors (14639996).

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

10027780 is a wasteful number, since it uses less digits than its factorization.

10027780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 25.

The square root of 10027780 is about 3166.6670175438. The cubic root of 10027780 is about 215.6427852025.

Adding to 10027780 its reverse (8772001), we get a palindrome (18799781).

The spelling of 10027780 in words is "ten million, twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 1747 2870 3494 5740 6988 8735 12229 17470 24458 34940 48916 61145 71627 122290 143254 244580 286508 358135 501389 716270 1002778 1432540 2005556 2506945 5013890 10027780