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11230520 = 2357192111
BaseRepresentation
bin101010110101…
…110100111000
3210010120101012
4222311310320
510333334040
61040413052
7164313020
oct52656470
923116335
1011230520
116380724
123917188
1324329a2
1416c4a80
15ebc865
hexab5d38

11230520 has 64 divisors (see below), whose sum is σ = 30412800. Its totient is φ = 3646080.

The previous prime is 11230519. The next prime is 11230529. The reversal of 11230520 is 2503211.

It is a happy number.

It is a super-3 number, since 3×112305203 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11230495 and 11230504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230529) by changing a digit.

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, 4265 + ... + 6375.

It is an arithmetic number, because the mean of its divisors is an integer number (475200).

Almost surely, 211230520 is an apocalyptic number.

11230520 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 11230520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206400).

11230520 is an abundant number, since it is smaller than the sum of its proper divisors (19182280).

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

11230520 is a wasteful number, since it uses less digits than its factorization.

11230520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11230520 is about 3351.1968011443. The cubic root of 11230520 is about 223.9408325872.

Adding to 11230520 its reverse (2503211), we get a palindrome (13733731).

The spelling of 11230520 in words is "eleven million, two hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2111 2660 4222 5320 8444 10555 14777 16888 21110 29554 40109 42220 59108 73885 80218 84440 118216 147770 160436 200545 280763 295540 320872 401090 561526 591080 802180 1123052 1403815 1604360 2246104 2807630 5615260 11230520