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12991104 = 27347179
BaseRepresentation
bin110001100011…
…101010000000
3220110000110000
4301203222000
511311203404
61142240000
7215264640
oct61435200
926400400
1012991104
117373455
124426000
1328cb159
141a22520
151219339
hexc63a80

12991104 has 160 divisors (see below), whose sum is σ = 44431200. Its totient is φ = 3691008.

The previous prime is 12991103. The next prime is 12991127. The reversal of 12991104 is 40119921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12991103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72487 + ... + 72665.

It is an arithmetic number, because the mean of its divisors is an integer number (277695).

Almost surely, 212991104 is an apocalyptic number.

12991104 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 12991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215600).

12991104 is an abundant number, since it is smaller than the sum of its proper divisors (31440096).

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

12991104 is an equidigital number, since it uses as much as digits as its factorization.

12991104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 12991104 is about 3604.3174111057. The cubic root of 12991104 is about 235.0798219861.

The spelling of 12991104 in words is "twelve million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 179 189 192 216 224 252 288 324 336 358 378 384 432 448 504 537 567 576 648 672 716 756 864 896 1008 1074 1134 1152 1253 1296 1344 1432 1512 1611 1728 2016 2148 2268 2506 2592 2688 2864 3024 3222 3456 3759 4032 4296 4536 4833 5012 5184 5728 6048 6444 7518 8064 8592 9072 9666 10024 10368 11277 11456 12096 12888 14499 15036 17184 18144 19332 20048 22554 22912 24192 25776 28998 30072 33831 34368 36288 38664 40096 45108 51552 57996 60144 67662 68736 72576 77328 80192 90216 101493 103104 115992 120288 135324 154656 160384 180432 202986 206208 231984 240576 270648 309312 360864 405972 463968 481152 541296 618624 721728 811944 927936 1082592 1443456 1623888 1855872 2165184 3247776 4330368 6495552 12991104