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126655540 = 225112199263
BaseRepresentation
bin1111000110010…
…01110000110100
322211022202201221
413203021300310
5224410434130
620322400124
73065361064
oct743116064
9284282657
10126655540
1165548200
1236500044
132031740b
1412b6d3a4
15b1bc87a
hex78c9c34

126655540 has 72 divisors (see below), whose sum is σ = 294940800. Its totient is φ = 45650880.

The previous prime is 126655517. The next prime is 126655547. The reversal of 126655540 is 45556621.

It is a junction number, because it is equal to n+sod(n) for n = 126655496 and 126655505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126655547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481449 + ... + 481711.

It is an arithmetic number, because the mean of its divisors is an integer number (4096400).

Almost surely, 2126655540 is an apocalyptic number.

126655540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126655540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147470400).

126655540 is an abundant number, since it is smaller than the sum of its proper divisors (168285260).

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

126655540 is a wasteful number, since it uses less digits than its factorization.

126655540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 126655540 is about 11254.1343514284. The cubic root of 126655540 is about 502.1977126319.

The spelling of 126655540 in words is "one hundred twenty-six million, six hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 199 220 242 263 398 484 526 605 796 995 1052 1210 1315 1990 2189 2420 2630 2893 3980 4378 5260 5786 8756 10945 11572 14465 21890 24079 28930 31823 43780 48158 52337 57860 63646 96316 104674 120395 127292 159115 209348 240790 261685 318230 481580 523370 575707 636460 1046740 1151414 2302828 2878535 5757070 6332777 11514140 12665554 25331108 31663885 63327770 126655540