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12726280 = 2357243151
BaseRepresentation
bin110000100011…
…000000001000
3212221120011201
4300203000020
511224220110
61132433544
7213112600
oct60430010
925846151
1012726280
117202496
1243188b4
132837758
141993c00
1511b5b3a
hexc23008

12726280 has 96 divisors (see below), whose sum is σ = 34309440. Its totient is φ = 4233600.

The previous prime is 12726271. The next prime is 12726283. The reversal of 12726280 is 8262721.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12726283) 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, 84205 + ... + 84355.

It is an arithmetic number, because the mean of its divisors is an integer number (357390).

Almost surely, 212726280 is an apocalyptic number.

12726280 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 12726280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17154720).

12726280 is an abundant number, since it is smaller than the sum of its proper divisors (21583160).

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

12726280 is a wasteful number, since it uses less digits than its factorization.

12726280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 12726280 is about 3567.3912036669. The cubic root of 12726280 is about 233.4714737561.

The spelling of 12726280 in words is "twelve million, seven hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 49 56 70 86 98 140 151 172 196 215 245 280 301 302 344 392 430 490 602 604 755 860 980 1057 1204 1208 1505 1510 1720 1960 2107 2114 2408 3010 3020 4214 4228 5285 6020 6040 6493 7399 8428 8456 10535 10570 12040 12986 14798 16856 21070 21140 25972 29596 32465 36995 42140 42280 45451 51944 59192 64930 73990 84280 90902 129860 147980 181804 227255 259720 295960 318157 363608 454510 636314 909020 1272628 1590785 1818040 2545256 3181570 6363140 12726280