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126744640 = 2651136007
BaseRepresentation
bin1111000110111…
…11100001000000
322211111021221221
413203133201000
5224421312030
620324324424
73066211621
oct743374100
9284437857
10126744640
11655a9140
1236543714
1320348b39
1412b93a48
15b1d8e7a
hex78df840

126744640 has 56 divisors (see below), whose sum is σ = 329257152. Its totient is φ = 46087680.

The previous prime is 126744619. The next prime is 126744659. The reversal of 126744640 is 46447621.

It is a junction number, because it is equal to n+sod(n) for n = 126744596 and 126744605.

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 7 ways as a sum of consecutive naturals, for example, 14484 + ... + 21523.

It is an arithmetic number, because the mean of its divisors is an integer number (5879592).

Almost surely, 2126744640 is an apocalyptic number.

126744640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126744640 is an abundant number, since it is smaller than the sum of its proper divisors (202512512).

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

126744640 is a wasteful number, since it uses less digits than its factorization.

126744640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36035 (or 36025 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 126744640 is about 11258.0922007239. The cubic root of 126744640 is about 502.3154475205.

The spelling of 126744640 in words is "one hundred twenty-six million, seven hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 36007 72014 144028 180035 288056 360070 396077 576112 720140 792154 1152224 1440280 1584308 1980385 2304448 2880560 3168616 3960770 5761120 6337232 7921540 11522240 12674464 15843080 25348928 31686160 63372320 126744640