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12011384 = 23711173137
BaseRepresentation
bin101101110100…
…011101111000
3211121020112002
4231310131320
511033331014
61105240132
7204044420
oct55643570
924536462
1012011384
116864370
124033048
132647238
141849480
1510c3dde
hexb74778

12011384 has 128 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 4147200.

The previous prime is 12011371. The next prime is 12011387. The reversal of 12011384 is 48311021.

12011384 = T406 + T407 + ... + T517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324614 + ... + 324650.

It is an arithmetic number, because the mean of its divisors is an integer number (246240).

Almost surely, 212011384 is an apocalyptic number.

12011384 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 12011384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12011384 is an abundant number, since it is smaller than the sum of its proper divisors (19507336).

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

12011384 is a wasteful number, since it uses less digits than its factorization.

12011384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12011384 is about 3465.7443644908. The cubic root of 12011384 is about 229.0152224456.

The spelling of 12011384 in words is "twelve million, eleven thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 31 34 37 44 56 62 68 74 77 88 119 124 136 148 154 187 217 238 248 259 296 308 341 374 407 434 476 518 527 616 629 682 748 814 868 952 1036 1054 1147 1258 1309 1364 1496 1628 1736 2072 2108 2294 2387 2516 2618 2728 2849 3256 3689 4216 4403 4588 4774 5032 5236 5698 5797 6919 7378 8029 8806 9176 9548 10472 11396 11594 12617 13838 14756 16058 17612 19096 19499 22792 23188 25234 27676 29512 32116 35224 38998 40579 46376 48433 50468 55352 64232 77996 81158 88319 96866 100936 136493 155992 162316 176638 193732 214489 272986 324632 353276 387464 428978 545972 706552 857956 1091944 1501423 1715912 3002846 6005692 12011384