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12030180 = 2235375419
BaseRepresentation
bin101101111001…
…000011100100
3211122012022020
4231321003210
511034431210
61105503140
7204153261
oct55710344
924565266
1012030180
1168774a8
124041ab0
132652966
141852268
1510c9770
hexb790e4

12030180 has 48 divisors (see below), whose sum is σ = 34601280. Its totient is φ = 3120768.

The previous prime is 12030149. The next prime is 12030197. The reversal of 12030180 is 8103021.

12030180 = T124 + T125 + ... + T419.

It is a happy number.

12030180 is digitally balanced in base 2 and base 4, 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 (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (720860).

Almost surely, 212030180 is an apocalyptic number.

12030180 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 12030180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17300640).

12030180 is an abundant number, since it is smaller than the sum of its proper divisors (22571100).

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

12030180 is a wasteful number, since it uses less digits than its factorization.

12030180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5466 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 12030180 is about 3468.4549874548. The cubic root of 12030180 is about 229.1346182548.

The spelling of 12030180 in words is "twelve million, thirty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5419 10838 16257 21676 27095 32514 54190 65028 81285 108380 162570 200503 325140 401006 601509 802012 1002515 1203018 2005030 2406036 3007545 4010060 6015090 12030180