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11911424 = 28717223
BaseRepresentation
bin101101011100…
…000100000000
3211102011101212
4231130010000
511022131144
61103145252
7203150120
oct55340400
924364355
1011911424
1167a6258
123ba5228
1326108a5
141820c80
1510a449e
hexb5c100

11911424 has 108 divisors (see below), whose sum is σ = 30120384. Its totient is φ = 4595712.

The previous prime is 11911421. The next prime is 11911439. The reversal of 11911424 is 42411911.

11911424 = 1882 + 1892 + ... + 3482.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 11911424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11911421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517877 + ... + 517899.

Almost surely, 211911424 is an apocalyptic number.

11911424 is a gapful number since it is divisible by the number (14) 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 11911424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15060192).

11911424 is an abundant number, since it is smaller than the sum of its proper divisors (18208960).

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

11911424 is an equidigital number, since it uses as much as digits as its factorization.

11911424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 11911424 is about 3451.2930910023. The cubic root of 11911424 is about 228.3781556681.

The spelling of 11911424 in words is "eleven million, nine hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 256 272 289 322 368 391 448 476 544 578 644 736 782 896 952 1088 1156 1288 1472 1564 1792 1904 2023 2176 2312 2576 2737 2944 3128 3808 4046 4352 4624 5152 5474 5888 6256 6647 7616 8092 9248 10304 10948 12512 13294 15232 16184 18496 20608 21896 25024 26588 30464 32368 36992 41216 43792 46529 50048 53176 64736 73984 87584 93058 100096 106352 129472 175168 186116 212704 258944 350336 372232 425408 517888 700672 744464 850816 1488928 1701632 2977856 5955712 11911424