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12989088 = 2532717379
BaseRepresentation
bin110001100011…
…001010100000
3220102220200100
4301203022200
511311122323
61142222400
7215256030
oct61431240
926386610
1012989088
117371992
124424a00
1328ca268
141a218c0
151218943
hexc632a0

12989088 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3483648.

The previous prime is 12989083. The next prime is 12989111. The reversal of 12989088 is 88098921.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (12989083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34083 + ... + 34461.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 212989088 is an apocalyptic number.

12989088 is a gapful number since it is divisible by the number (18) 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 12989088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

12989088 is an abundant number, since it is smaller than the sum of its proper divisors (31826592).

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

12989088 is a wasteful number, since it uses less digits than its factorization.

12989088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 12989088 is about 3604.0377356515. The cubic root of 12989088 is about 235.0676612173.

The spelling of 12989088 in words is "twelve million, nine hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 379 408 476 504 544 612 672 714 758 816 952 1008 1071 1137 1224 1428 1516 1632 1904 2016 2142 2274 2448 2653 2856 3032 3411 3808 4284 4548 4896 5306 5712 6064 6443 6822 7959 8568 9096 10612 11424 12128 12886 13644 15918 17136 18192 19329 21224 23877 25772 27288 31836 34272 36384 38658 42448 45101 47754 51544 54576 57987 63672 77316 84896 90202 95508 103088 109152 115974 127344 135303 154632 180404 191016 206176 231948 254688 270606 309264 360808 382032 405909 463896 541212 618528 721616 764064 811818 927792 1082424 1443232 1623636 1855584 2164848 3247272 4329696 6494544 12989088