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126270168 = 2335321873
BaseRepresentation
bin1111000011010…
…11101011011000
322210121012002220
413201223223120
5224311121133
620310224040
73062164413
oct741535330
9283535086
10126270168
1165304712
1236355020
1320210b9b
1412aacb7a
15b1435b3
hex786bad8

126270168 has 48 divisors (see below), whose sum is σ = 321915720. Its totient is φ = 41273856.

The previous prime is 126270149. The next prime is 126270187. The reversal of 126270168 is 861072621.

It is a Cunningham number, because it is equal to 112372-1.

It is an interprime number because it is at equal distance from previous prime (126270149) and next prime (126270187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66480 + ... + 68352.

Almost surely, 2126270168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126270168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160957860).

126270168 is an abundant number, since it is smaller than the sum of its proper divisors (195645552).

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

126270168 is a wasteful number, since it uses less digits than its factorization.

126270168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 126270168 is about 11236.9999555041. Note that the first 4 decimals coincide. The cubic root of 126270168 is about 501.6878532251.

The spelling of 126270168 in words is "one hundred twenty-six million, two hundred seventy thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 1873 2809 3746 5618 5619 7492 8427 11236 11238 14984 16854 22472 22476 33708 44952 67416 99269 198538 297807 397076 595614 794152 1191228 2382456 5261257 10522514 15783771 21045028 31567542 42090056 63135084 126270168