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11813340 = 22357112557
BaseRepresentation
bin101101000100…
…000111011100
3211020011212010
4231010013130
511011011330
61101111220
7202261140
oct55040734
924204763
1011813340
1167395a0
123b58510
1325a8056
1417d7220
1510853b0
hexb441dc

11813340 has 96 divisors (see below), whose sum is σ = 41255424. Its totient is φ = 2453760.

The previous prime is 11813303. The next prime is 11813341. The reversal of 11813340 is 4331811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11813341) 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 31 ways as a sum of consecutive naturals, for example, 3342 + ... + 5898.

It is an arithmetic number, because the mean of its divisors is an integer number (429744).

Almost surely, 211813340 is an apocalyptic number.

11813340 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 11813340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20627712).

11813340 is an abundant number, since it is smaller than the sum of its proper divisors (29442084).

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

11813340 is a wasteful number, since it uses less digits than its factorization.

11813340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11813340 is about 3437.0539710630. The cubic root of 11813340 is about 227.7495711431.

The spelling of 11813340 in words is "eleven million, eight hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2557 4620 5114 7671 10228 12785 15342 17899 25570 28127 30684 35798 38355 51140 53697 56254 71596 76710 84381 89495 107394 112508 140635 153420 168762 178990 196889 214788 268485 281270 337524 357980 393778 421905 536970 562540 590667 787556 843810 984445 1073940 1181334 1687620 1968890 2362668 2953335 3937780 5906670 11813340