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10990200 = 23352131409
BaseRepresentation
bin101001111011…
…001001111000
3202200100201110
4221323021320
510303141300
61031320320
7162262254
oct51731170
922610643
1010990200
116227111
1238200a0
13237a4a0
141661264
15e71550
hexa7b278

10990200 has 96 divisors (see below), whose sum is σ = 36716400. Its totient is φ = 2703360.

The previous prime is 10990183. The next prime is 10990219. The reversal of 10990200 is 209901.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 7096 + ... + 8504.

Almost surely, 210990200 is an apocalyptic number.

10990200 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 10990200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18358200).

10990200 is an abundant number, since it is smaller than the sum of its proper divisors (25726200).

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

10990200 is a wasteful number, since it uses less digits than its factorization.

10990200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 10990200 is about 3315.1470555618. The cubic root of 10990200 is about 222.3319439644.

It can be divided in two parts, 109 and 90200, that added together give a palindrome (90309).

The spelling of 10990200 in words is "ten million, nine hundred ninety thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1409 1560 1950 2600 2818 3900 4227 5636 7045 7800 8454 11272 14090 16908 18317 21135 28180 33816 35225 36634 42270 54951 56360 70450 73268 84540 91585 105675 109902 140900 146536 169080 183170 211350 219804 274755 281800 366340 422700 439608 457925 549510 732680 845400 915850 1099020 1373775 1831700 2198040 2747550 3663400 5495100 10990200