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10999000 = 235317647
BaseRepresentation
bin101001111101…
…010011011000
3202200210210101
4221331103120
510303432000
61031425144
7162330025
oct51752330
922623711
1010999000
116232791
1238251b4
1323814ac
14166454c
15e73e6a
hexa7d4d8

10999000 has 64 divisors (see below), whose sum is σ = 27293760. Its totient is φ = 4134400.

The previous prime is 10998997. The next prime is 10999039. The reversal of 10999000 is 99901.

It is a self number, because there is not a number n which added to its sum of digits gives 10999000.

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 15 ways as a sum of consecutive naturals, for example, 16677 + ... + 17323.

It is an arithmetic number, because the mean of its divisors is an integer number (426465).

Almost surely, 210999000 is an apocalyptic number.

10999000 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 10999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13646880).

10999000 is an abundant number, since it is smaller than the sum of its proper divisors (16294760).

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

10999000 is a wasteful number, since it uses less digits than its factorization.

10999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 10999000 is about 3316.4740312567. The cubic root of 10999000 is about 222.3912695191.

The spelling of 10999000 in words is "ten million, nine hundred ninety-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 647 680 850 1000 1294 1700 2125 2588 3235 3400 4250 5176 6470 8500 10999 12940 16175 17000 21998 25880 32350 43996 54995 64700 80875 87992 109990 129400 161750 219980 274975 323500 439960 549950 647000 1099900 1374875 2199800 2749750 5499500 10999000