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12106180 = 225605309
BaseRepresentation
bin101110001011…
…100111000100
3211210001120001
4232023213010
511044344210
61111251044
7204620662
oct56134704
924701501
1012106180
116919609
124079a84
13267b428
141871c32
1510e203a
hexb8b9c4

12106180 has 12 divisors (see below), whose sum is σ = 25423020. Its totient is φ = 4842464.

The previous prime is 12106169. The next prime is 12106181. The reversal of 12106180 is 8160121.

12106180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9622404 + 2483776 = 3102^2 + 1576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302635 + ... + 302674.

It is an arithmetic number, because the mean of its divisors is an integer number (2118585).

Almost surely, 212106180 is an apocalyptic number.

12106180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12106180 is an abundant number, since it is smaller than the sum of its proper divisors (13316840).

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

12106180 is a wasteful number, since it uses less digits than its factorization.

12106180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605318 (or 605316 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 12106180 is about 3479.3936253319. The cubic root of 12106180 is about 229.6161208314.

The spelling of 12106180 in words is "twelve million, one hundred six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 605309 1210618 2421236 3026545 6053090 12106180