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12440142 = 2351113179
BaseRepresentation
bin101111011101…
…001001001110
3212102000200000
4233131021032
511141041032
61122345130
7210511431
oct57351116
925360600
1012440142
117027510
1241bb1a6
132767440
14191b818
15115ae7c
hexbdd24e

12440142 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3460320.

The previous prime is 12440137. The next prime is 12440143. The reversal of 12440142 is 24104421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69409 + ... + 69587.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 212440142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12440142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

12440142 is an abundant number, since it is smaller than the sum of its proper divisors (20581938).

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

12440142 is a wasteful number, since it uses less digits than its factorization.

12440142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12440142 is about 3527.0585478554. The cubic root of 12440142 is about 231.7084004888.

Adding to 12440142 its reverse (24104421), we get a palindrome (36544563).

The spelling of 12440142 in words is "twelve million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 179 198 234 243 286 297 351 358 429 486 537 594 702 858 891 1053 1074 1287 1611 1782 1969 2106 2327 2574 2673 3159 3222 3861 3938 4654 4833 5346 5907 6318 6981 7722 9666 11583 11814 13962 14499 17721 20943 23166 25597 28998 34749 35442 41886 43497 51194 53163 62829 69498 76791 86994 106326 125658 153582 159489 188487 230373 318978 376974 460746 478467 565461 691119 956934 1130922 1382238 2073357 4146714 6220071 12440142