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12068520 = 2335163617
BaseRepresentation
bin101110000010…
…011010101000
3211201010220020
4232002122220
511042143040
61110400440
7204403122
oct56023250
924633806
1012068520
1168a3292
124060120
132667249
141862212
1510d5cd0
hexb826a8

12068520 has 64 divisors (see below), whose sum is σ = 36486720. Its totient is φ = 3193344.

The previous prime is 12068447. The next prime is 12068527. The reversal of 12068520 is 2586021.

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

It is not an unprimeable number, because it can be changed into a prime (12068527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19252 + ... + 19868.

It is an arithmetic number, because the mean of its divisors is an integer number (570105).

Almost surely, 212068520 is an apocalyptic number.

12068520 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 12068520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18243360).

12068520 is an abundant number, since it is smaller than the sum of its proper divisors (24418200).

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

12068520 is a wasteful number, since it uses less digits than its factorization.

12068520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 12068520 is about 3473.9775474231. The cubic root of 12068520 is about 229.3777763005.

The spelling of 12068520 in words is "twelve million, sixty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 617 652 815 978 1234 1304 1630 1851 1956 2445 2468 3085 3260 3702 3912 4890 4936 6170 6520 7404 9255 9780 12340 14808 18510 19560 24680 37020 74040 100571 201142 301713 402284 502855 603426 804568 1005710 1206852 1508565 2011420 2413704 3017130 4022840 6034260 12068520