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11818080 = 2532529283
BaseRepresentation
bin101101000101…
…010001100000
3211020102100200
4231011101200
511011134310
61101145200
7202311021
oct55052140
924212320
1011818080
11674210a
123b5b200
1325aa261
1417d8c48
1510869c0
hexb45460

11818080 has 144 divisors (see below), whose sum is σ = 41867280. Its totient is φ = 3032064.

The previous prime is 11818073. The next prime is 11818091. The reversal of 11818080 is 8081811.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41619 + ... + 41901.

It is an arithmetic number, because the mean of its divisors is an integer number (290745).

Almost surely, 211818080 is an apocalyptic number.

11818080 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 11818080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933640).

11818080 is an abundant number, since it is smaller than the sum of its proper divisors (30049200).

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

11818080 is a wasteful number, since it uses less digits than its factorization.

11818080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 11818080 is about 3437.7434459250. The cubic root of 11818080 is about 227.7800279153.

Adding to 11818080 its reverse (8081811), we get a palindrome (19899891).

It can be divided in two parts, 1181 and 8080, that added together give a cube (9261 = 213).

The spelling of 11818080 in words is "eleven million, eight hundred eighteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 283 288 290 348 360 435 464 480 522 566 580 696 720 849 870 928 1044 1132 1160 1305 1392 1415 1440 1698 1740 2088 2264 2320 2547 2610 2784 2830 3396 3480 4176 4245 4528 4640 5094 5220 5660 6792 6960 8207 8352 8490 9056 10188 10440 11320 12735 13584 13920 16414 16980 20376 20880 22640 24621 25470 27168 32828 33960 40752 41035 41760 45280 49242 50940 65656 67920 73863 81504 82070 98484 101880 123105 131312 135840 147726 164140 196968 203760 246210 262624 295452 328280 369315 393936 407520 492420 590904 656560 738630 787872 984840 1181808 1313120 1477260 1969680 2363616 2954520 3939360 5909040 11818080