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126056340 = 22325821853
BaseRepresentation
bin1111000001101…
…11011110010100
322210012022210100
413200313132110
5224232300330
620301454100
73060314124
oct740673624
9283168710
10126056340
1165178aa3
1236271330
1320167767
1412a54c84
15b100060
hex7837794

126056340 has 72 divisors (see below), whose sum is σ = 383285448. Its totient is φ = 33534720.

The previous prime is 126056339. The next prime is 126056347. The reversal of 126056340 is 43650621.

It can be divided in two parts, 1260 and 56340, that added together give a square (57600 = 2402).

126056340 is a `hidden beast` number, since 1 + 2 + 60 + 563 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 571536 + 125484804 = 756^2 + 11202^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126056347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147354 + ... + 148206.

It is an arithmetic number, because the mean of its divisors is an integer number (5323409).

Almost surely, 2126056340 is an apocalyptic number.

126056340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126056340 is an abundant number, since it is smaller than the sum of its proper divisors (257229108).

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

126056340 is a wasteful number, since it uses less digits than its factorization.

126056340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126056340 is about 11227.4814629105. The cubic root of 126056340 is about 501.4045043742.

The spelling of 126056340 in words is "one hundred twenty-six million, fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 821 853 1642 1706 2463 2559 3284 3412 4105 4265 4926 5118 7389 7677 8210 8530 9852 10236 12315 12795 14778 15354 16420 17060 24630 25590 29556 30708 36945 38385 49260 51180 73890 76770 147780 153540 700313 1400626 2100939 2801252 3501565 4201878 6302817 7003130 8403756 10504695 12605634 14006260 21009390 25211268 31514085 42018780 63028170 126056340