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11513440 = 255227317
BaseRepresentation
bin101011111010…
…111001100000
3210122221110201
4223322321200
510421412230
61050434544
7166601611
oct53727140
923587421
1011513440
116554244
123a32a54
1325016b3
141759c08
1510265ca
hexafae60

11513440 has 48 divisors (see below), whose sum is σ = 27406512. Its totient is φ = 4570624.

The previous prime is 11513429. The next prime is 11513441. The reversal of 11513440 is 4431511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513441) 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 7 ways as a sum of consecutive naturals, for example, 36162 + ... + 36478.

It is an arithmetic number, because the mean of its divisors is an integer number (570969).

Almost surely, 211513440 is an apocalyptic number.

11513440 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 11513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13703256).

11513440 is an abundant number, since it is smaller than the sum of its proper divisors (15893072).

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

11513440 is a wasteful number, since it uses less digits than its factorization.

11513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11513440 is about 3393.1460328138. The cubic root of 11513440 is about 225.8057693725.

Adding to 11513440 its reverse (4431511), we get a palindrome (15944951).

The spelling of 11513440 in words is "eleven million, five hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 227 317 454 634 908 1135 1268 1585 1816 2270 2536 3170 3632 4540 5072 6340 7264 9080 10144 12680 18160 25360 36320 50720 71959 143918 287836 359795 575672 719590 1151344 1439180 2302688 2878360 5756720 11513440