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12906740 = 22571117229
BaseRepresentation
bin110001001111…
…000011110100
3220021201201102
4301033003310
511301003430
61140345232
7214463660
oct61170364
926251642
1012906740
117316030
1243a5218
13289b932
1419dd8a0
1511ee345
hexc4f0f4

12906740 has 144 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3655680.

The previous prime is 12906731. The next prime is 12906767. The reversal of 12906740 is 4760921.

12906740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445046 + ... + 445074.

It is an arithmetic number, because the mean of its divisors is an integer number (257880).

Almost surely, 212906740 is an apocalyptic number.

12906740 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 12906740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360).

12906740 is an abundant number, since it is smaller than the sum of its proper divisors (24227980).

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

12906740 is a wasteful number, since it uses less digits than its factorization.

12906740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 12906740 is about 3592.5951622748. The cubic root of 12906740 is about 234.5698483969.

The spelling of 12906740 in words is "twelve million, nine hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 28 29 34 35 44 55 58 68 70 77 85 110 116 119 140 145 154 170 187 203 220 238 289 290 308 319 340 374 385 406 476 493 578 580 595 638 748 770 812 935 986 1015 1156 1190 1276 1309 1445 1540 1595 1870 1972 2023 2030 2233 2380 2465 2618 2890 3179 3190 3451 3740 4046 4060 4466 4930 5236 5423 5780 6358 6380 6545 6902 8092 8381 8932 9860 10115 10846 11165 12716 13090 13804 15895 16762 17255 20230 21692 22253 22330 26180 27115 31790 33524 34510 37961 40460 41905 44506 44660 54230 58667 63580 69020 75922 83810 89012 92191 108460 111265 117334 151844 167620 184382 189805 222530 234668 293335 368764 379610 445060 460955 586670 645337 759220 921910 1173340 1290674 1843820 2581348 3226685 6453370 12906740