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12062180 = 22513172729
BaseRepresentation
bin101110000000…
…110111100100
3211200211012102
4232000313210
511041442210
61110311232
7204345464
oct56006744
924624172
1012062180
116899549
124058518
1326643b0
14185dba4
1510d3ea5
hexb80de4

12062180 has 48 divisors (see below), whose sum is σ = 28894320. Its totient is φ = 4190208.

The previous prime is 12062161. The next prime is 12062191. The reversal of 12062180 is 8126021.

It can be written as a sum of positive squares in 8 ways, for example, as 379456 + 11682724 = 616^2 + 3418^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3056 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 212062180 is an apocalyptic number.

12062180 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 12062180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447160).

12062180 is an abundant number, since it is smaller than the sum of its proper divisors (16832140).

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

12062180 is a wasteful number, since it uses less digits than its factorization.

12062180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 12062180 is about 3473.0649288489. The cubic root of 12062180 is about 229.3376026412.

The spelling of 12062180 in words is "twelve million, sixty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2729 4420 5458 10916 13645 27290 35477 46393 54580 70954 92786 141908 177385 185572 231965 354770 463930 603109 709540 927860 1206218 2412436 3015545 6031090 12062180