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11326080 = 273517347
BaseRepresentation
bin101011001101…
…001010000000
3210022102110110
4223031022000
510344413310
61042431320
7165161433
oct53151200
923272413
1011326080
1164364a7
123962540
13246732c
14170b81a
15edad20
hexacd280

11326080 has 128 divisors (see below), whose sum is σ = 38335680. Its totient is φ = 2834432.

The previous prime is 11326079. The next prime is 11326123. The reversal of 11326080 is 8062311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32467 + ... + 32813.

Almost surely, 211326080 is an apocalyptic number.

11326080 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 11326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19167840).

11326080 is an abundant number, since it is smaller than the sum of its proper divisors (27009600).

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

11326080 is a wasteful number, since it uses less digits than its factorization.

11326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

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

The square root of 11326080 is about 3365.4241931739. The cubic root of 11326080 is about 224.5742070779.

Adding to 11326080 its reverse (8062311), we get a palindrome (19388391).

The spelling of 11326080 in words is "eleven million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 347 384 408 480 510 544 640 680 694 816 960 1020 1041 1088 1360 1388 1632 1735 1920 2040 2082 2176 2720 2776 3264 3470 4080 4164 5205 5440 5552 5899 6528 6940 8160 8328 10410 10880 11104 11798 13880 16320 16656 17697 20820 22208 23596 27760 29495 32640 33312 35394 41640 44416 47192 55520 58990 66624 70788 83280 88485 94384 111040 117980 133248 141576 166560 176970 188768 222080 235960 283152 333120 353940 377536 471920 566304 666240 707880 755072 943840 1132608 1415760 1887680 2265216 2831520 3775360 5663040 11326080