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126038664 = 23325333029
BaseRepresentation
bin1111000001100…
…11001010001000
322210011102112200
413200303022020
5224231214124
620301240200
73060211443
oct740631210
9283142480
10126038664
1165166794
1236263060
132015c6bb
1412a4c65a
15b0e9bc9
hex7833288

126038664 has 48 divisors (see below), whose sum is σ = 347805900. Its totient is φ = 41218944.

The previous prime is 126038657. The next prime is 126038683. The reversal of 126038664 is 466830621.

It can be written as a sum of positive squares in 2 ways, for example, as 117288900 + 8749764 = 10830^2 + 2958^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12699 + ... + 20330.

Almost surely, 2126038664 is an apocalyptic number.

It is an amenable number.

126038664 is an abundant number, since it is smaller than the sum of its proper divisors (221767236).

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

126038664 is a wasteful number, since it uses less digits than its factorization.

126038664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33094 (or 33087 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 126038664 is about 11226.6942596652. The cubic root of 126038664 is about 501.3810671283.

The spelling of 126038664 in words is "one hundred twenty-six million, thirty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 33029 66058 99087 132116 198174 264232 297261 396348 594522 792696 1189044 1750537 2378088 3501074 5251611 7002148 10503222 14004296 15754833 21006444 31509666 42012888 63019332 126038664