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12097890 = 2335737173
BaseRepresentation
bin101110001001…
…100101100010
3211202122012000
4232021211202
511044113030
61111144430
7204554550
oct56114542
924678160
1012097890
116913362
124075116
13267771c
14186cbd0
1510de860
hexb89962

12097890 has 128 divisors (see below), whose sum is σ = 38085120. Its totient is φ = 2674944.

The previous prime is 12097879. The next prime is 12097909. The reversal of 12097890 is 9879021.

It is a happy number.

It is an unprimeable number.

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, 69844 + ... + 70016.

It is an arithmetic number, because the mean of its divisors is an integer number (297540).

Almost surely, 212097890 is an apocalyptic number.

12097890 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 12097890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19042560).

12097890 is an abundant number, since it is smaller than the sum of its proper divisors (25987230).

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

12097890 is a wasteful number, since it uses less digits than its factorization.

12097890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 12097890 is about 3478.2021217865. The cubic root of 12097890 is about 229.5636971299.

The spelling of 12097890 in words is "twelve million, ninety-seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 37 42 45 54 63 70 74 90 105 111 126 135 173 185 189 210 222 259 270 315 333 346 370 378 518 519 555 630 666 777 865 945 999 1038 1110 1211 1295 1554 1557 1665 1730 1890 1998 2331 2422 2590 2595 3114 3330 3633 3885 4662 4671 4995 5190 6055 6401 6993 7266 7770 7785 9342 9990 10899 11655 12110 12802 13986 15570 18165 19203 21798 23310 23355 32005 32697 34965 36330 38406 44807 46710 54495 57609 64010 65394 69930 89614 96015 108990 115218 134421 163485 172827 192030 224035 268842 288045 326970 345654 403263 448070 576090 672105 806526 864135 1209789 1344210 1728270 2016315 2419578 4032630 6048945 12097890