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126133098 = 2371317107127
BaseRepresentation
bin1111000010010…
…10001101101010
322210100020002020
413201022031222
5224242224343
620303245310
73061053660
oct741121552
9283306066
10126133098
1165220733
12362a9836
1320193690
1412a74c30
15b117b83
hex784a36a

126133098 has 128 divisors (see below), whose sum is σ = 334430208. Its totient is φ = 30772224.

The previous prime is 126133069. The next prime is 126133103. The reversal of 126133098 is 890331621.

It is a super-2 number, since 2×1261330982 = 31819116822155208, which contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 993111 + ... + 993237.

It is an arithmetic number, because the mean of its divisors is an integer number (2612736).

Almost surely, 2126133098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126133098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

126133098 is an abundant number, since it is smaller than the sum of its proper divisors (208297110).

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

126133098 is a wasteful number, since it uses less digits than its factorization.

126133098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 126133098 is about 11230.8992516183. The cubic root of 126133098 is about 501.5062551675.

The spelling of 126133098 in words is "one hundred twenty-six million, one hundred thirty-three thousand, ninety-eight".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 107 119 127 182 214 221 238 254 273 321 357 381 442 546 642 663 714 749 762 889 1326 1391 1498 1547 1651 1778 1819 2159 2247 2667 2782 3094 3302 3638 4173 4318 4494 4641 4953 5334 5457 6477 8346 9282 9737 9906 10914 11557 12733 12954 13589 15113 19474 23114 23647 25466 27178 28067 29211 30226 34671 38199 40767 45339 47294 56134 58422 69342 70941 76398 81534 84201 90678 95123 141882 165529 168402 176657 190246 196469 231013 285369 331058 353314 392938 462026 496587 529971 570738 589407 693039 993174 1059942 1178814 1236599 1386078 1617091 2473198 3003169 3234182 3709797 4851273 6006338 7419594 9009507 9702546 18019014 21022183 42044366 63066549 126133098