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11381520 = 2435471009
BaseRepresentation
bin101011011010…
…101100010000
3210102020111210
4223122230100
510403202040
61043540120
7165512163
oct53325420
923366453
1011381520
116474117
12398a640
132486637
141723ada
15eec480
hexadab10

11381520 has 80 divisors (see below), whose sum is σ = 36069120. Its totient is φ = 2967552.

The previous prime is 11381507. The next prime is 11381521. The reversal of 11381520 is 2518311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11381521) 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 15 ways as a sum of consecutive naturals, for example, 10776 + ... + 11784.

It is an arithmetic number, because the mean of its divisors is an integer number (450864).

Almost surely, 211381520 is an apocalyptic number.

11381520 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 11381520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18034560).

11381520 is an abundant number, since it is smaller than the sum of its proper divisors (24687600).

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

11381520 is a wasteful number, since it uses less digits than its factorization.

11381520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 11381520 is about 3373.6508414476. The cubic root of 11381520 is about 224.9400334019.

Adding to 11381520 its reverse (2518311), we get a palindrome (13899831).

The spelling of 11381520 in words is "eleven million, three hundred eighty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1009 1128 1410 1880 2018 2256 2820 3027 3760 4036 5045 5640 6054 8072 10090 11280 12108 15135 16144 20180 24216 30270 40360 47423 48432 60540 80720 94846 121080 142269 189692 237115 242160 284538 379384 474230 569076 711345 758768 948460 1138152 1422690 1896920 2276304 2845380 3793840 5690760 11381520