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12009140 = 225111321719
BaseRepresentation
bin101101110011…
…111010110100
3211121010102222
4231303322310
511033243030
61105221512
7204035033
oct55637264
924533388
1012009140
116862710
124031898
132646200
14184871a
1510c33e5
hexb73eb4

12009140 has 144 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 3594240.

The previous prime is 12009139. The next prime is 12009149. The reversal of 12009140 is 4190021.

12009140 = T77 + T78 + ... + T416.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12009149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632051 + ... + 632069.

It is an arithmetic number, because the mean of its divisors is an integer number (230580).

Almost surely, 212009140 is an apocalyptic number.

12009140 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 12009140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).

12009140 is an abundant number, since it is smaller than the sum of its proper divisors (21194380).

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

12009140 is a wasteful number, since it uses less digits than its factorization.

12009140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12009140 is about 3465.4206093922. The cubic root of 12009140 is about 229.0009598048. Note that the first 3 decimals are identical.

Adding to 12009140 its reverse (4190021), we get a palindrome (16199161).

The spelling of 12009140 in words is "twelve million, nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 17 19 20 22 26 34 38 44 52 55 65 68 76 85 95 110 130 143 169 170 187 190 209 220 221 247 260 286 323 338 340 374 380 418 442 494 572 646 676 715 748 836 845 884 935 988 1045 1105 1235 1292 1430 1615 1690 1859 1870 2090 2210 2431 2470 2717 2860 2873 3211 3230 3380 3553 3718 3740 4180 4199 4420 4862 4940 5434 5746 6422 6460 7106 7436 8398 9295 9724 10868 11492 12155 12844 13585 14212 14365 16055 16796 17765 18590 20995 24310 27170 28730 31603 32110 35321 35530 37180 41990 46189 48620 54340 54587 57460 63206 64220 70642 71060 83980 92378 109174 126412 141284 158015 176605 184756 218348 230945 272935 316030 353210 461890 545870 600457 632060 706420 923780 1091740 1200914 2401828 3002285 6004570 12009140