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12368070 = 23251113312
BaseRepresentation
bin101111001011…
…100011000110
3212021100210200
4233023203012
511131234240
61121031330
7210061341
oct57134306
925240720
1012368070
116a88350
124185546
1327406b0
1418dd458
151144930
hexbcb8c6

12368070 has 144 divisors (see below), whose sum is σ = 39036816. Its totient is φ = 2678400.

The previous prime is 12368053. The next prime is 12368071. The reversal of 12368070 is 7086321.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12368071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 398955 + ... + 398985.

It is an arithmetic number, because the mean of its divisors is an integer number (271089).

Almost surely, 212368070 is an apocalyptic number.

12368070 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 12368070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518408).

12368070 is an abundant number, since it is smaller than the sum of its proper divisors (26668746).

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

12368070 is a wasteful number, since it uses less digits than its factorization.

12368070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 12368070 is about 3516.8266946212. The cubic root of 12368070 is about 231.2600657902.

The spelling of 12368070 in words is "twelve million, three hundred sixty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 31 33 39 45 55 62 65 66 78 90 93 99 110 117 130 143 155 165 186 195 198 234 279 286 310 330 341 390 403 429 465 495 558 585 682 715 806 858 930 961 990 1023 1170 1209 1287 1395 1430 1705 1922 2015 2046 2145 2418 2574 2790 2883 3069 3410 3627 4030 4290 4433 4805 5115 5766 6045 6138 6435 7254 8649 8866 9610 10230 10571 12090 12493 12870 13299 14415 15345 17298 18135 21142 22165 24986 26598 28830 30690 31713 36270 37479 39897 43245 44330 52855 62465 63426 66495 74958 79794 86490 95139 105710 112437 124930 132990 137423 158565 187395 190278 199485 224874 274846 317130 374790 398970 412269 475695 562185 687115 824538 951390 1124370 1236807 1374230 2061345 2473614 4122690 6184035 12368070