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12706470 = 2375783
BaseRepresentation
bin110000011110…
…001010100110
3212220120000000
4300132022212
511223101340
61132202130
7213001050
oct60361246
925816000
1012706470
117199617
124309346
13282b72a
14198a8d0
1511aed30
hexc1e2a6

12706470 has 128 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 2869344.

The previous prime is 12706469. The next prime is 12706471. The reversal of 12706470 is 7460721.

12706470 is a `hidden beast` number, since 12 + 7 + 0 + 647 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12706469) and next prime (12706471).

It is a super-2 number, since 2×127064702 = 322908759721800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12706471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153049 + ... + 153131.

It is an arithmetic number, because the mean of its divisors is an integer number (309960).

Almost surely, 212706470 is an apocalyptic number.

12706470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12706470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

12706470 is an abundant number, since it is smaller than the sum of its proper divisors (26968410).

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

12706470 is an frugal number, since it uses more digits than its factorization.

12706470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 12706470 is about 3564.6135835459. The cubic root of 12706470 is about 233.3502686121.

The spelling of 12706470 in words is "twelve million, seven hundred six thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 83 90 105 126 135 162 166 189 210 243 249 270 315 378 405 415 486 498 567 581 630 729 747 810 830 945 1134 1162 1215 1245 1458 1494 1701 1743 1890 2187 2241 2430 2490 2835 2905 3402 3486 3645 3735 4374 4482 5103 5229 5670 5810 6723 7290 7470 8505 8715 10206 10458 10935 11205 13446 15309 15687 17010 17430 20169 21870 22410 25515 26145 30618 31374 33615 40338 47061 51030 52290 60507 67230 76545 78435 94122 100845 121014 141183 153090 156870 181521 201690 235305 282366 302535 363042 423549 470610 605070 705915 847098 907605 1270647 1411830 1815210 2117745 2541294 4235490 6353235 12706470