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12140142 = 237317347
BaseRepresentation
bin101110010011…
…111001101110
3211211210010220
4232103321232
511101441032
61112112210
7205122000
oct56237156
924753126
1012140142
116942083
124095666
132690a21
141880370
1510ec12c
hexb93e6e

12140142 has 64 divisors (see below), whose sum is σ = 30067200. Its totient is φ = 3255168.

The previous prime is 12140131. The next prime is 12140143. The reversal of 12140142 is 24104121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12140143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34813 + ... + 35159.

It is an arithmetic number, because the mean of its divisors is an integer number (469800).

Almost surely, 212140142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12140142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15033600).

12140142 is an abundant number, since it is smaller than the sum of its proper divisors (17927058).

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

12140142 is a wasteful number, since it uses less digits than its factorization.

12140142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 12140142 is about 3484.2706553883. The cubic root of 12140142 is about 229.8306377643.

Adding to 12140142 its reverse (24104121), we get a palindrome (36244263).

The spelling of 12140142 in words is "twelve million, one hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 343 347 357 686 694 714 833 1029 1041 1666 2058 2082 2429 2499 4858 4998 5831 5899 7287 11662 11798 14574 17003 17493 17697 34006 34986 35394 41293 51009 82586 102018 119021 123879 238042 247758 289051 357063 578102 714126 867153 1734306 2023357 4046714 6070071 12140142