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126666316 = 22729473319
BaseRepresentation
bin1111000110011…
…00011001001100
322211100022112001
413203030121030
5224411310231
620322522044
73065434360
oct743143114
9284308461
10126666316
1165555307
1236506324
132031c2aa
1412b732a0
15b1c0b61
hex78cc64c

126666316 has 48 divisors (see below), whose sum is σ = 267724800. Its totient is φ = 51283008.

The previous prime is 126666311. The next prime is 126666361. The reversal of 126666316 is 613666621.

It is not an unprimeable number, because it can be changed into a prime (126666311) 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, 36505 + ... + 39823.

It is an arithmetic number, because the mean of its divisors is an integer number (5577600).

Almost surely, 2126666316 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 126666316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133862400).

126666316 is an abundant number, since it is smaller than the sum of its proper divisors (141058484).

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

126666316 is a wasteful number, since it uses less digits than its factorization.

126666316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3406 (or 3404 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 126666316 is about 11254.6130986365. The cubic root of 126666316 is about 502.2119547490.

The spelling of 126666316 in words is "one hundred twenty-six million, six hundred sixty-six thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 329 406 658 812 1316 1363 2726 3319 5452 6638 9541 13276 19082 23233 38164 46466 92932 96251 155993 192502 311986 385004 623972 673757 1091951 1347514 2183902 2695028 4367804 4523797 9047594 18095188 31666579 63333158 126666316