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126968244 = 223134717317
BaseRepresentation
bin1111001000101…
…10000110110100
322211220122200120
413210112012310
5230000440434
620333211540
73101132544
oct744260664
9284818616
10126968244
1165741137
1236630bb0
13203c6850
1412c11324
15b230349
hex79161b4

126968244 has 48 divisors (see below), whose sum is σ = 325855488. Its totient is φ = 38233728.

The previous prime is 126968227. The next prime is 126968249. The reversal of 126968244 is 442869621.

It is a super-2 number, since 2×1269682442 = 32241869968887072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126968196 and 126968205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126968249) 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 15 ways as a sum of consecutive naturals, for example, 1327 + ... + 15990.

It is an arithmetic number, because the mean of its divisors is an integer number (6788656).

Almost surely, 2126968244 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 126968244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162927744).

126968244 is an abundant number, since it is smaller than the sum of its proper divisors (198887244).

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

126968244 is a wasteful number, since it uses less digits than its factorization.

126968244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17384 (or 17382 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 126968244 is about 11268.0186368323. The cubic root of 126968244 is about 502.6106704090.

It can be divided in two parts, 1269 and 68244, that multiplied together give a square (86601636 = 93062).

The spelling of 126968244 in words is "one hundred twenty-six million, nine hundred sixty-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 17317 34634 51951 69268 103902 207804 225121 450242 675363 813899 900484 1350726 1627798 2441697 2701452 3255596 4883394 9766788 10580687 21161374 31742061 42322748 63484122 126968244