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11341040 = 2451731269
BaseRepresentation
bin101011010000…
…110011110000
3210100011222112
4223100303300
510400403130
61043024452
7165253154
oct53206360
923304875
1011341040
116446767
12396b128
132471099
141713064
15ee0495
hexad0cf0

11341040 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 4116480.

The previous prime is 11340991. The next prime is 11341069. The reversal of 11341040 is 4014311.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 42026 + ... + 42294.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 211341040 is an apocalyptic number.

11341040 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 11341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

11341040 is an abundant number, since it is smaller than the sum of its proper divisors (17585680).

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

11341040 is a wasteful number, since it uses less digits than its factorization.

11341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11341040 is about 3367.6460621627. The cubic root of 11341040 is about 224.6730395083.

Adding to 11341040 its reverse (4014311), we get a palindrome (15355351).

The spelling of 11341040 in words is "eleven million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 269 272 310 340 496 527 538 620 680 1054 1076 1240 1345 1360 2108 2152 2480 2635 2690 4216 4304 4573 5270 5380 8339 8432 9146 10540 10760 16678 18292 21080 21520 22865 33356 36584 41695 42160 45730 66712 73168 83390 91460 133424 141763 166780 182920 283526 333560 365840 567052 667120 708815 1134104 1417630 2268208 2835260 5670520 11341040