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12708900 = 223552523
BaseRepresentation
bin110000011110…
…110000100100
3212220200100000
4300132300210
511223141100
61132221300
7213011121
oct60366044
925820300
1012708900
1171a0426
12430a830
13282c879
14198b748
1511b0900
hexc1ec24

12708900 has 108 divisors (see below), whose sum is σ = 41389712. Its totient is φ = 3382560.

The previous prime is 12708889. The next prime is 12708919. The reversal of 12708900 is 980721.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×127089002 = 323032278420000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24039 + ... + 24561.

Almost surely, 212708900 is an apocalyptic number.

12708900 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 12708900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694856).

12708900 is an abundant number, since it is smaller than the sum of its proper divisors (28680812).

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

12708900 is a wasteful number, since it uses less digits than its factorization.

12708900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 12708900 is about 3564.9544176609. The cubic root of 12708900 is about 233.3651430556.

The spelling of 12708900 in words is "twelve million, seven hundred eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 523 540 675 810 900 972 1046 1215 1350 1569 1620 2025 2092 2430 2615 2700 3138 4050 4707 4860 5230 6075 6276 7845 8100 9414 10460 12150 13075 14121 15690 18828 23535 24300 26150 28242 31380 39225 42363 47070 52300 56484 70605 78450 84726 94140 117675 127089 141210 156900 169452 211815 235350 254178 282420 353025 423630 470700 508356 635445 706050 847260 1059075 1270890 1412100 2118150 2541780 3177225 4236300 6354450 12708900