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10996580 = 22574229
BaseRepresentation
bin101001111100…
…101101100100
3202200200110202
4221330231210
510303342310
61031410032
7162320000
oct51745544
922620422
1010996580
116230991
123823918
13238036a
141663700
15e733a5
hexa7cb64

10996580 has 60 divisors (see below), whose sum is σ = 27057660. Its totient is φ = 3753792.

The previous prime is 10996547. The next prime is 10996591. The reversal of 10996580 is 8569901.

It can be written as a sum of positive squares in 2 ways, for example, as 7529536 + 3467044 = 2744^2 + 1862^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47906 + ... + 48134.

It is an arithmetic number, because the mean of its divisors is an integer number (450961).

Almost surely, 210996580 is an apocalyptic number.

10996580 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 10996580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528830).

10996580 is an abundant number, since it is smaller than the sum of its proper divisors (16061080).

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

10996580 is an equidigital number, since it uses as much as digits as its factorization.

10996580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 10996580 is about 3316.1091658750. The cubic root of 10996580 is about 222.3749581469.

The spelling of 10996580 in words is "ten million, nine hundred ninety-six thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 229 245 343 458 490 686 916 980 1145 1372 1603 1715 2290 2401 3206 3430 4580 4802 6412 6860 8015 9604 11221 12005 16030 22442 24010 32060 44884 48020 56105 78547 112210 157094 224420 314188 392735 549829 785470 1099658 1570940 2199316 2749145 5498290 10996580