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11911480 = 2357192239
BaseRepresentation
bin101101011100…
…000100111000
3211102011110221
4231130010320
511022131410
61103145424
7203150230
oct55340470
924364427
1011911480
1167a62a9
123ba5274
132610919
141820cc0
1510a44da
hexb5c138

11911480 has 64 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 3867264.

The previous prime is 11911463. The next prime is 11911481. The reversal of 11911480 is 8411911.

11911480 = T16 + T17 + ... + T414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911481) 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 15 ways as a sum of consecutive naturals, for example, 4201 + ... + 6439.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 211911480 is an apocalyptic number.

11911480 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 11911480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

11911480 is an abundant number, since it is smaller than the sum of its proper divisors (20344520).

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

11911480 is a wasteful number, since it uses less digits than its factorization.

11911480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

The square root of 11911480 is about 3451.3012038940. The cubic root of 11911480 is about 228.3785135642.

The spelling of 11911480 in words is "eleven million, nine hundred eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 380 532 665 760 1064 1330 2239 2660 4478 5320 8956 11195 15673 17912 22390 31346 42541 44780 62692 78365 85082 89560 125384 156730 170164 212705 297787 313460 340328 425410 595574 626920 850820 1191148 1488935 1701640 2382296 2977870 5955740 11911480