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126082660 = 225113131831
BaseRepresentation
bin1111000001111…
…01111001100100
322210020122220011
413200331321210
5224234121120
620302220004
73060453634
oct740757144
9283218804
10126082660
1165196850
1236284604
1320176732
1412a606c4
15b107c5a
hex783de64

126082660 has 48 divisors (see below), whose sum is σ = 289924992. Its totient is φ = 45676800.

The previous prime is 126082631. The next prime is 126082661. The reversal of 126082660 is 66280621.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (126082661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67945 + ... + 69775.

It is an arithmetic number, because the mean of its divisors is an integer number (6040104).

Almost surely, 2126082660 is an apocalyptic number.

126082660 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 126082660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144962496).

126082660 is an abundant number, since it is smaller than the sum of its proper divisors (163842332).

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

126082660 is a wasteful number, since it uses less digits than its factorization.

126082660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 126082660 is about 11228.6535256904. The cubic root of 126082660 is about 501.4393989517.

The spelling of 126082660 in words is "one hundred twenty-six million, eighty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 313 626 1252 1565 1831 3130 3443 3662 6260 6886 7324 9155 13772 17215 18310 20141 34430 36620 40282 68860 80564 100705 201410 402820 573103 1146206 2292412 2865515 5731030 6304133 11462060 12608266 25216532 31520665 63041330 126082660