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12094320 = 2435723313
BaseRepresentation
bin101110001000…
…101101110000
3211202110021210
4232020231300
511044004240
61111120120
7204541260
oct56105560
924673253
1012094320
116910707
124073040
132675c04
14186b7a0
1510dd780
hexb88b70

12094320 has 160 divisors (see below), whose sum is σ = 44854272. Its totient is φ = 2635776.

The previous prime is 12094319. The next prime is 12094321. The reversal of 12094320 is 2349021.

It is an interprime number because it is at equal distance from previous prime (12094319) and next prime (12094321).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12094321) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38484 + ... + 38796.

Almost surely, 212094320 is an apocalyptic number.

12094320 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 12094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22427136).

12094320 is an abundant number, since it is smaller than the sum of its proper divisors (32759952).

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

12094320 is a wasteful number, since it uses less digits than its factorization.

12094320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12094320 is about 3477.6888877529. The cubic root of 12094320 is about 229.5411140452.

The spelling of 12094320 in words is "twelve million, ninety-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 313 322 336 345 368 420 460 483 552 560 626 644 690 805 840 920 939 966 1104 1252 1288 1380 1565 1610 1680 1840 1878 1932 2191 2415 2504 2576 2760 3130 3220 3756 3864 4382 4695 4830 5008 5520 6260 6440 6573 7199 7512 7728 8764 9390 9660 10955 12520 12880 13146 14398 15024 17528 18780 19320 21597 21910 25040 26292 28796 32865 35056 35995 37560 38640 43194 43820 50393 52584 57592 65730 71990 75120 86388 87640 100786 105168 107985 115184 131460 143980 151179 172776 175280 201572 215970 251965 262920 287960 302358 345552 403144 431940 503930 525840 575920 604716 755895 806288 863880 1007860 1209432 1511790 1727760 2015720 2418864 3023580 4031440 6047160 12094320