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12180640 = 25576129
BaseRepresentation
bin101110011101…
…110010100000
3211220211200211
4232131302200
511104240030
61113023504
7205351033
oct56356240
924824624
1012180640
11696a54a
1240b4b94
1326a62a4
14189101a
15110912a
hexb9dca0

12180640 has 24 divisors (see below), whose sum is σ = 28777140. Its totient is φ = 4872192.

The previous prime is 12180631. The next prime is 12180647. The reversal of 12180640 is 4608121.

12180640 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 11806096 + 374544 = 3436^2 + 612^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12180647) 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, 37905 + ... + 38224.

Almost surely, 212180640 is an apocalyptic number.

12180640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12180640 is an abundant number, since it is smaller than the sum of its proper divisors (16596500).

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

12180640 is an equidigital number, since it uses as much as digits as its factorization.

12180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76144 (or 76136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 12180640 is about 3490.0773630394. The cubic root of 12180640 is about 230.0859162323.

Adding to 12180640 its reverse (4608121), we get a palindrome (16788761).

The spelling of 12180640 in words is "twelve million, one hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 76129 152258 304516 380645 609032 761290 1218064 1522580 2436128 3045160 6090320 12180640