Search a number
-
+
12467070 = 23257211257
BaseRepresentation
bin101111100011…
…101101111110
3212110101121100
4233203231332
511142421240
61123113530
7210653100
oct57435576
925411540
1012467070
117045770
1242128a6
132776785
141927570
151163e30
hexbe3b7e

12467070 has 144 divisors (see below), whose sum is σ = 41294448. Its totient is φ = 2580480.

The previous prime is 12467047. The next prime is 12467083. The reversal of 12467070 is 7076421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48382 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (286767).

Almost surely, 212467070 is an apocalyptic number.

12467070 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 12467070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647224).

12467070 is an abundant number, since it is smaller than the sum of its proper divisors (28827378).

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

12467070 is a wasteful number, since it uses less digits than its factorization.

12467070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

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

The square root of 12467070 is about 3530.8738295215. The cubic root of 12467070 is about 231.8754657639.

The spelling of 12467070 in words is "twelve million, four hundred sixty-seven thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 49 55 63 66 70 77 90 98 99 105 110 126 147 154 165 198 210 231 245 257 294 315 330 385 441 462 490 495 514 539 630 693 735 770 771 882 990 1078 1155 1285 1386 1470 1542 1617 1799 2205 2310 2313 2570 2695 2827 3234 3465 3598 3855 4410 4626 4851 5390 5397 5654 6930 7710 8085 8481 8995 9702 10794 11565 12593 14135 16170 16191 16962 17990 19789 23130 24255 25186 25443 26985 28270 32382 37779 39578 42405 48510 50886 53970 59367 62965 75558 80955 84810 98945 113337 118734 125930 127215 138523 161910 178101 188895 197890 226674 254430 277046 296835 356202 377790 415569 566685 593670 692615 831138 890505 1133370 1246707 1385230 1781010 2077845 2493414 4155690 6233535 12467070