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126740827260 = 223251761367567
BaseRepresentation
bin111011000001001010…
…1111000110001111100
3110010010210020010010100
41312002111320301330
54034031122433020
6134120211441100
712104520154005
oct1660225706174
9403123203110
10126740827260
1149828990443
12206912b6190
13bc4a8b8758
1461c46ba1ac
15346bb77a90
hex1d82578c7c

126740827260 has 144 divisors (see below), whose sum is σ = 407731798656. Its totient is φ = 31757101056.

The previous prime is 126740827259. The next prime is 126740827333. The reversal of 126740827260 is 62728047621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1841997 + ... + 1909563.

It is an arithmetic number, because the mean of its divisors is an integer number (2831470824).

Almost surely, 2126740827260 is an apocalyptic number.

126740827260 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 126740827260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203865899328).

126740827260 is an abundant number, since it is smaller than the sum of its proper divisors (280990971396).

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

126740827260 is a wasteful number, since it uses less digits than its factorization.

126740827260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68212 (or 68207 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 126740827260 in words is "one hundred twenty-six billion, seven hundred forty million, eight hundred twenty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 613 765 1020 1226 1530 1839 2452 3060 3065 3678 5517 6130 7356 9195 10421 11034 12260 18390 20842 22068 27585 31263 36780 41684 52105 55170 62526 67567 93789 104210 110340 125052 135134 156315 187578 202701 208420 270268 312630 337835 375156 405402 468945 608103 625260 675670 810804 937890 1013505 1148639 1216206 1351340 1875780 2027010 2297278 2432412 3040515 3445917 4054020 4594556 5743195 6081030 6891834 10337751 11486390 12162060 13783668 17229585 20675502 22972780 34459170 41351004 41418571 51688755 68918340 82837142 103377510 124255713 165674284 206755020 207092855 248511426 372767139 414185710 497022852 621278565 704115707 745534278 828371420 1242557130 1408231414 1491068556 1863835695 2112347121 2485114260 2816462828 3520578535 3727671390 4224694242 6337041363 7041157070 7455342780 8449388484 10561735605 12674082726 14082314140 21123471210 25348165452 31685206815 42246942420 63370413630 126740827260