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12142320 = 243550593
BaseRepresentation
bin101110010100…
…011011110000
3211211220010120
4232110123300
511102023240
61112130240
7205131231
oct56243360
924756116
1012142320
116943783
124096980
132691a08
141881088
1510ecad0
hexb946f0

12142320 has 40 divisors (see below), whose sum is σ = 37641936. Its totient is φ = 3237888.

The previous prime is 12142289. The next prime is 12142331. The reversal of 12142320 is 2324121.

12142320 = T712 + T713 + ... + T756.

12142320 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 tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12142320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25057 + ... + 25536.

Almost surely, 212142320 is an apocalyptic number.

12142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12142320 is an abundant number, since it is smaller than the sum of its proper divisors (25499616).

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

12142320 is a wasteful number, since it uses less digits than its factorization.

12142320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50609 (or 50603 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12142320 is about 3484.5831888477. The cubic root of 12142320 is about 229.8443811839.

Adding to 12142320 its reverse (2324121), we get a palindrome (14466441).

The spelling of 12142320 in words is "twelve million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 50593 101186 151779 202372 252965 303558 404744 505930 607116 758895 809488 1011860 1214232 1517790 2023720 2428464 3035580 4047440 6071160 12142320