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12060820 = 22517191867
BaseRepresentation
bin101110000000…
…100010010100
3211200202100001
4232000202110
511041421240
61110301044
7204341512
oct56004224
924622301
1012060820
116898522
124057784
1326638a5
14185d4b2
1510d389a
hexb80894

12060820 has 48 divisors (see below), whose sum is σ = 28244160. Its totient is φ = 4299264.

The previous prime is 12060817. The next prime is 12060827. The reversal of 12060820 is 2806021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12060827) 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, 5527 + ... + 7393.

It is an arithmetic number, because the mean of its divisors is an integer number (588420).

Almost surely, 212060820 is an apocalyptic number.

12060820 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 12060820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122080).

12060820 is an abundant number, since it is smaller than the sum of its proper divisors (16183340).

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

12060820 is a wasteful number, since it uses less digits than its factorization.

12060820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12060820 is about 3472.8691308484. The cubic root of 12060820 is about 229.3289831141.

Adding to 12060820 its reverse (2806021), we get a palindrome (14866841).

It can be divided in two parts, 12060 and 820, that added together give a triangular number (12880 = T160).

The spelling of 12060820 in words is "twelve million, sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 1867 3230 3734 6460 7468 9335 18670 31739 35473 37340 63478 70946 126956 141892 158695 177365 317390 354730 603041 634780 709460 1206082 2412164 3015205 6030410 12060820