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11230020 = 2232589701
BaseRepresentation
bin101010110101…
…101101000100
3210010112200200
4222311231010
510333330040
61040410500
7164311404
oct52655504
923115620
1011230020
11638030a
123916a30
1324326a9
1416c4804
15ebc630
hexab5b44

11230020 has 72 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 2956800.

The previous prime is 11229973. The next prime is 11230031. The reversal of 11230020 is 2003211.

It is a happy number.

11230020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1382976 + 9847044 = 1176^2 + 3138^2 .

It is a super-2 number, since 2×112300202 = 252226698400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11229984 and 11230011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15670 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (479115).

Almost surely, 211230020 is an apocalyptic number.

11230020 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 11230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

11230020 is an abundant number, since it is smaller than the sum of its proper divisors (23266260).

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

11230020 is a wasteful number, since it uses less digits than its factorization.

11230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11230020 is about 3351.1222000995. The cubic root of 11230020 is about 223.9375091412.

Adding to 11230020 its reverse (2003211), we get a palindrome (13233231).

The spelling of 11230020 in words is "eleven million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 701 801 890 1068 1335 1402 1602 1780 2103 2670 2804 3204 3505 4005 4206 5340 6309 7010 8010 8412 10515 12618 14020 16020 21030 25236 31545 42060 62389 63090 124778 126180 187167 249556 311945 374334 561501 623890 748668 935835 1123002 1247780 1871670 2246004 2807505 3743340 5615010 11230020