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126506226 = 2371133173
BaseRepresentation
bin1111000101001…
…01010011110010
322211001011220210
413202211103302
5224341144401
620315244550
73064166550
oct742452362
9284034823
10126506226
1165456000
1236449756
1320294472
1412b30bd0
15b18d4d6
hex78a54f2

126506226 has 128 divisors (see below), whose sum is σ = 332808192. Its totient is φ = 31363200.

The previous prime is 126506221. The next prime is 126506227. The reversal of 126506226 is 622605621.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126506193 and 126506202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126506221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1732926 + ... + 1732998.

It is an arithmetic number, because the mean of its divisors is an integer number (2600064).

Almost surely, 2126506226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126506226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166404096).

126506226 is an abundant number, since it is smaller than the sum of its proper divisors (206301966).

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

126506226 is a wasteful number, since it uses less digits than its factorization.

126506226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 126506226 is about 11247.4986552566. The cubic root of 126506226 is about 502.0002883550. Note that the first 3 decimals are identical.

The spelling of 126506226 in words is "one hundred twenty-six million, five hundred six thousand, two hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 73 77 93 121 146 154 186 217 219 231 242 341 363 434 438 462 511 651 682 726 803 847 1022 1023 1302 1331 1533 1606 1694 2046 2263 2387 2409 2541 2662 3066 3751 3993 4526 4774 4818 5082 5621 6789 7161 7502 7986 8833 9317 11242 11253 13578 14322 15841 16863 17666 18634 22506 24893 26257 26499 27951 31682 33726 41261 47523 49786 52514 52998 55902 61831 74679 78771 82522 95046 97163 123662 123783 149358 157542 174251 185493 194326 247566 273823 288827 291489 348502 370986 522753 547646 577654 582978 680141 821469 866481 1045506 1360282 1642938 1732962 1916761 2040423 3012053 3833522 4080846 5750283 6024106 9036159 11500566 18072318 21084371 42168742 63253113 126506226