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12142420 = 2251771503
BaseRepresentation
bin101110010100…
…011101010100
3211211220021021
4232110131110
511102024140
61112130524
7205131433
oct56243524
924756237
1012142420
116943864
124096a44
132691a84
14188111a
1510ecb4a
hexb94754

12142420 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 4497920.

The previous prime is 12142411. The next prime is 12142423. The reversal of 12142420 is 2424121.

12142420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12142394 and 12142403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23889 + ... + 24391.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212142420 is an apocalyptic number.

12142420 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 12142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12142420 is an abundant number, since it is smaller than the sum of its proper divisors (15291308).

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

12142420 is a wasteful number, since it uses less digits than its factorization.

12142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12142420 is about 3484.5975377366. The cubic root of 12142420 is about 229.8450121555.

Adding to 12142420 its reverse (2424121), we get a palindrome (14566541).

The spelling of 12142420 in words is "twelve million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 503 710 1006 1207 1420 2012 2414 2515 4828 5030 6035 8551 10060 12070 17102 24140 34204 35713 42755 71426 85510 142852 171020 178565 357130 607121 714260 1214242 2428484 3035605 6071210 12142420