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11334240 = 2532517463
BaseRepresentation
bin101011001111…
…001001100000
3210022211122200
4223033021200
510400143430
61042533200
7165224301
oct53171140
923284580
1011334240
116441645
123967200
13246ac68
1417107a8
15edd460
hexacf260

11334240 has 144 divisors (see below), whose sum is σ = 41041728. Its totient is φ = 2838528.

The previous prime is 11334233. The next prime is 11334269. The reversal of 11334240 is 4243311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 24249 + ... + 24711.

It is an arithmetic number, because the mean of its divisors is an integer number (285012).

Almost surely, 211334240 is an apocalyptic number.

11334240 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 11334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20520864).

11334240 is an abundant number, since it is smaller than the sum of its proper divisors (29707488).

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

11334240 is a wasteful number, since it uses less digits than its factorization.

11334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 11334240 is about 3366.6363034934. The cubic root of 11334240 is about 224.6281264574.

Adding to 11334240 its reverse (4243311), we get a palindrome (15577551).

The spelling of 11334240 in words is "eleven million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 463 480 510 544 612 680 720 765 816 926 1020 1224 1360 1389 1440 1530 1632 1852 2040 2315 2448 2720 2778 3060 3704 4080 4167 4630 4896 5556 6120 6945 7408 7871 8160 8334 9260 11112 12240 13890 14816 15742 16668 18520 20835 22224 23613 24480 27780 31484 33336 37040 39355 41670 44448 47226 55560 62968 66672 70839 74080 78710 83340 94452 111120 118065 125936 133344 141678 157420 166680 188904 222240 236130 251872 283356 314840 333360 354195 377808 472260 566712 629680 666720 708390 755616 944520 1133424 1259360 1416780 1889040 2266848 2833560 3778080 5667120 11334240