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12072060 = 223257111367
BaseRepresentation
bin101110000011…
…010001111100
3211201022202100
4232003101330
511042301220
61110425100
7204416340
oct56032174
924638670
1012072060
1168a5a10
124062190
132668a40
141863620
1510d6d90
hexb8347c

12072060 has 288 divisors, whose sum is σ = 49900032. Its totient is φ = 2280960.

The previous prime is 12072037. The next prime is 12072119. The reversal of 12072060 is 6027021.

12072060 = T813 + T814 + ... + T847.

It is a happy number.

12072060 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

12072060 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180147 + ... + 180213.

It is an arithmetic number, because the mean of its divisors is an integer number (173264).

Almost surely, 212072060 is an apocalyptic number.

12072060 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 12072060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24950016).

12072060 is an abundant number, since it is smaller than the sum of its proper divisors (37827972).

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

12072060 is a wasteful number, since it uses less digits than its factorization.

12072060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12072060 is about 3474.4870124955. The cubic root of 12072060 is about 229.4002015288.

Adding to 12072060 its reverse (6027021), we get a palindrome (18099081).

The spelling of 12072060 in words is "twelve million, seventy-two thousand, sixty".