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126832644 = 223218772
BaseRepresentation
bin1111000111101…
…01000000000100
322211122202200100
413203311000010
5224432121034
620330244100
73100026321
oct743650004
9284582610
10126832644
1165659274
1236586630
1320379c03
1412bb7b48
15b205099
hex78f5004

126832644 has 27 divisors (see below), whose sum is σ = 320775637. Its totient is φ = 42255024.

The previous prime is 126832637. The next prime is 126832661. The reversal of 126832644 is 446238621.

The square root of 126832644 is 11262.

It is a perfect power (a square), and thus also a powerful number.

126832644 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 3 + 2 + 644 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79388100 + 47444544 = 8910^2 + 6888^2 .

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 126832599 and 126832608.

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 8 ways as a sum of consecutive naturals, for example, 66634 + ... + 68510.

Almost surely, 2126832644 is an apocalyptic number.

126832644 is the 11262-nd square number.

It is an amenable number.

126832644 is an abundant number, since it is smaller than the sum of its proper divisors (193942993).

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

126832644 is an equidigital number, since it uses as much as digits as its factorization.

126832644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764 (or 1882 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 126832644 is about 502.4316800262.

Multiplying 126832644 by its sum of digits (36), we get a square (4565975184 = 675722).

126832644 divided by its sum of digits (36) gives a square (3523129 = 18772).

The spelling of 126832644 in words is "one hundred twenty-six million, eight hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1877 3754 5631 7508 11262 16893 22524 33786 67572 3523129 7046258 10569387 14092516 21138774 31708161 42277548 63416322 126832644