Search a number
-
+
12093360 = 2435411229
BaseRepresentation
bin101110001000…
…011110110000
3211202101222020
4232020132300
511043441420
61111111440
7204535416
oct56103660
924671866
1012093360
11690aa14
124072580
132675646
14186b2b6
1510dd340
hexb887b0

12093360 has 80 divisors (see below), whose sum is σ = 38435040. Its totient is φ = 3143680.

The previous prime is 12093337. The next prime is 12093371. The reversal of 12093360 is 6339021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12093360.

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 15 ways as a sum of consecutive naturals, for example, 9226 + ... + 10454.

It is an arithmetic number, because the mean of its divisors is an integer number (480438).

Almost surely, 212093360 is an apocalyptic number.

12093360 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 12093360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19217520).

12093360 is an abundant number, since it is smaller than the sum of its proper divisors (26341680).

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

12093360 is a wasteful number, since it uses less digits than its factorization.

12093360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 12093360 is about 3477.5508623168. The cubic root of 12093360 is about 229.5350405247.

The spelling of 12093360 in words is "twelve million, ninety-three thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1229 1230 1640 1968 2458 2460 3280 3687 4916 4920 6145 7374 9832 9840 12290 14748 18435 19664 24580 29496 36870 49160 50389 58992 73740 98320 100778 147480 151167 201556 251945 294960 302334 403112 503890 604668 755835 806224 1007780 1209336 1511670 2015560 2418672 3023340 4031120 6046680 12093360