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11300432 = 2411213449
BaseRepresentation
bin101011000110…
…111001010000
3210021010021112
4223012321100
510343103212
61042112452
7165023603
oct53067120
923233245
1011300432
116419200
12394b728
132458760
14170233a
15ed3422
hexac6e50

11300432 has 60 divisors (see below), whose sum is σ = 25974900. Its totient is φ = 4730880.

The previous prime is 11300423. The next prime is 11300437. The reversal of 11300432 is 23400311.

It can be written as a sum of positive squares in 2 ways, for example, as 4096576 + 7203856 = 2024^2 + 2684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24944 + ... + 25392.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 211300432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12987450).

11300432 is an abundant number, since it is smaller than the sum of its proper divisors (14674468).

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

11300432 is a wasteful number, since it uses less digits than its factorization.

11300432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 11300432 is about 3361.6115183049. The cubic root of 11300432 is about 224.4045622551.

Adding to 11300432 its reverse (23400311), we get a palindrome (34700743).

The spelling of 11300432 in words is "eleven million, three hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 121 143 176 208 242 286 449 484 572 898 968 1144 1573 1796 1936 2288 3146 3592 4939 5837 6292 7184 9878 11674 12584 19756 23348 25168 39512 46696 54329 64207 79024 93392 108658 128414 217316 256828 434632 513656 706277 869264 1027312 1412554 2825108 5650216 11300432