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12704670 = 23251141313
BaseRepresentation
bin110000011101…
…101110011110
3212220110112100
4300131232132
511223022140
61132145530
7212662566
oct60355636
925813470
1012704670
117198230
1243082a6
13282a974
141989da6
1511ae530
hexc1db9e

12704670 has 96 divisors (see below), whose sum is σ = 37031904. Its totient is φ = 2995200.

The previous prime is 12704663. The next prime is 12704693. The reversal of 12704670 is 7640721.

It is a super-2 number, since 2×127046702 = 322817279617800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

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, 40434 + ... + 40746.

It is an arithmetic number, because the mean of its divisors is an integer number (385749).

Almost surely, 212704670 is an apocalyptic number.

12704670 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 12704670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515952).

12704670 is an abundant number, since it is smaller than the sum of its proper divisors (24327234).

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

12704670 is a wasteful number, since it uses less digits than its factorization.

12704670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

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

The square root of 12704670 is about 3564.3610928187. The cubic root of 12704670 is about 233.3392492831.

The spelling of 12704670 in words is "twelve million, seven hundred four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 41 45 55 66 82 90 99 110 123 165 198 205 246 313 330 369 410 451 495 615 626 738 902 939 990 1230 1353 1565 1845 1878 2255 2706 2817 3130 3443 3690 4059 4510 4695 5634 6765 6886 8118 9390 10329 12833 13530 14085 17215 20295 20658 25666 28170 30987 34430 38499 40590 51645 61974 64165 76998 103290 115497 128330 141163 154935 192495 230994 282326 309870 384990 423489 577485 705815 846978 1154970 1270467 1411630 2117445 2540934 4234890 6352335 12704670