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254130426 = 233111732473
BaseRepresentation
bin11110010010110…
…11100011111010
3122201012011102000
433021123203322
51010024133201
641114521430
76204034014
oct1711334372
9581164360
10254130426
111204a4a50
1271136276
134085a744
1425a731b4
151749cd86
hexf25b8fa

254130426 has 64 divisors (see below), whose sum is σ = 619885440. Its totient is φ = 76533120.

The previous prime is 254130421. The next prime is 254130431. The reversal of 254130426 is 624031452.

It is an interprime number because it is at equal distance from previous prime (254130421) and next prime (254130431).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 254130426.

It is not an unprimeable number, because it can be changed into a prime (254130421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101526 + ... + 103998.

It is an arithmetic number, because the mean of its divisors is an integer number (9685710).

Almost surely, 2254130426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254130426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309942720).

254130426 is an abundant number, since it is smaller than the sum of its proper divisors (365755014).

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

254130426 is a wasteful number, since it uses less digits than its factorization.

254130426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 254130426 is about 15941.4687529098. The cubic root of 254130426 is about 633.4109323816.

Adding to 254130426 its reverse (624031452), we get a palindrome (878161878).

The spelling of 254130426 in words is "two hundred fifty-four million, one hundred thirty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 297 346 519 594 1038 1557 1903 2473 3114 3806 4671 4946 5709 7419 9342 11418 14838 17127 22257 27203 34254 44514 51381 54406 66771 81609 102762 133542 163218 244827 427829 489654 734481 855658 1283487 1468962 2566974 3850461 4706119 7700922 9412238 11551383 14118357 23102766 28236714 42355071 84710142 127065213 254130426