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126063381 = 3176779467
BaseRepresentation
bin1111000001110…
…01001100010101
322210012200110010
413200321030111
5224233012011
620301550433
73060343503
oct740711425
9283180403
10126063381
1165183314
1236275419
132016aa22
1412a57673
15b1021a6
hex7839315

126063381 has 32 divisors (see below), whose sum is σ = 183306240. Its totient is φ = 76766976.

The previous prime is 126063367. The next prime is 126063419. The reversal of 126063381 is 183360621.

126063381 is a nontrivial binomial coefficient, being equal to C(15879, 2).

It is not a de Polignac number, because 126063381 - 25 = 126063349 is a prime.

It is a super-4 number, since 4×1260633814 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126063331) 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 31 ways as a sum of consecutive naturals, for example, 269710 + ... + 270176.

It is an arithmetic number, because the mean of its divisors is an integer number (5728320).

Almost surely, 2126063381 is an apocalyptic number.

126063381 is the 15878-th triangular number.

It is an amenable number.

126063381 is a deficient number, since it is larger than the sum of its proper divisors (57242859).

126063381 is a wasteful number, since it uses less digits than its factorization.

126063381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 126063381 is about 11227.7950195041. The cubic root of 126063381 is about 501.4138396798.

The spelling of 126063381 in words is "one hundred twenty-six million, sixty-three thousand, three hundred eighty-one".

Divisors: 1 3 17 51 67 79 201 237 467 1139 1343 1401 3417 4029 5293 7939 15879 23817 31289 36893 89981 93867 110679 269943 531913 627181 1595739 1881543 2471831 7415493 42021127 126063381