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12085360 = 245723083
BaseRepresentation
bin101110000110…
…100001110000
3211201222222221
4232012201300
511043212420
61111010424
7204503200
oct56064160
924658887
1012085360
116904a01
124069a14
132671b01
141868400
1510dacaa
hexb86870

12085360 has 60 divisors (see below), whose sum is σ = 32696568. Its totient is φ = 4142208.

The previous prime is 12085343. The next prime is 12085397. The reversal of 12085360 is 6358021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2379 + ... + 5461.

Almost surely, 212085360 is an apocalyptic number.

12085360 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 12085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16348284).

12085360 is an abundant number, since it is smaller than the sum of its proper divisors (20611208).

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

12085360 is a wasteful number, since it uses less digits than its factorization.

12085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12085360 is about 3476.4004372339. The cubic root of 12085360 is about 229.4844153501.

The spelling of 12085360 in words is "twelve million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3083 3920 6166 12332 15415 21581 24664 30830 43162 49328 61660 86324 107905 123320 151067 172648 215810 246640 302134 345296 431620 604268 755335 863240 1208536 1510670 1726480 2417072 3021340 6042680 12085360