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11300520 = 23357111223
BaseRepresentation
bin101011000110…
…111010101000
3210021010101210
4223012322220
510343104040
61042113120
7165024060
oct53067250
923233353
1011300520
116419280
12394b7a0
1324587ca
1417023a0
15ed3480
hexac6ea8

11300520 has 128 divisors (see below), whose sum is σ = 42301440. Its totient is φ = 2346240.

The previous prime is 11300507. The next prime is 11300537. The reversal of 11300520 is 2500311.

11300520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11300496 and 11300505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8629 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 211300520 is an apocalyptic number.

11300520 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 11300520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720).

11300520 is an abundant number, since it is smaller than the sum of its proper divisors (31000920).

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

11300520 is a wasteful number, since it uses less digits than its factorization.

11300520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 11300520 is about 3361.6246072398. The cubic root of 11300520 is about 224.4051447564.

Adding to 11300520 its reverse (2500311), we get a palindrome (13800831).

The spelling of 11300520 in words is "eleven million, three hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1223 1320 1540 1848 2310 2446 3080 3669 4620 4892 6115 7338 8561 9240 9784 12230 13453 14676 17122 18345 24460 25683 26906 29352 34244 36690 40359 42805 48920 51366 53812 67265 68488 73380 80718 85610 94171 102732 107624 128415 134530 146760 161436 171220 188342 201795 205464 256830 269060 282513 322872 342440 376684 403590 470855 513660 538120 565026 753368 807180 941710 1027320 1130052 1412565 1614360 1883420 2260104 2825130 3766840 5650260 11300520