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126351216 = 24321946181
BaseRepresentation
bin1111000011111…
…11011101110000
322210202022021200
413201333131300
5224321214331
620312051200
73062652615
oct741773560
9283668250
10126351216
116535a5a2
1236393b00
132023ba44
1412ad050c
15b15c5e6
hex787f770

126351216 has 60 divisors (see below), whose sum is σ = 372226920. Its totient is φ = 39899520.

The previous prime is 126351161. The next prime is 126351227. The reversal of 126351216 is 612153621.

126351216 is a `hidden beast` number, since 1 + 2 + 635 + 1 + 21 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 126351216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20355 + ... + 25826.

It is an arithmetic number, because the mean of its divisors is an integer number (6203782).

Almost surely, 2126351216 is an apocalyptic number.

126351216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126351216 is an abundant number, since it is smaller than the sum of its proper divisors (245875704).

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

126351216 is a wasteful number, since it uses less digits than its factorization.

126351216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46214 (or 46205 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 126351216 is about 11240.6056776314. The cubic root of 126351216 is about 501.7951683609.

The spelling of 126351216 in words is "one hundred twenty-six million, three hundred fifty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 46181 92362 138543 184724 277086 369448 415629 554172 738896 831258 877439 1108344 1662516 1754878 2216688 2632317 3325032 3509756 5264634 6650064 7019512 7896951 10529268 14039024 15793902 21058536 31587804 42117072 63175608 126351216