Search a number
-
+
129126784 = 272321907
BaseRepresentation
bin1111011001001…
…01000110000000
322222222022122111
413230211012000
5231024024114
620451345104
73125362633
oct754450600
9288868574
10129126784
1166985956
12372b2194
13209a11a7
1413213c1a
15b509bc4
hex7b25180

129126784 has 48 divisors (see below), whose sum is σ = 269056620. Its totient is φ = 61723904.

The previous prime is 129126779. The next prime is 129126787. The reversal of 129126784 is 487621921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129126787) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 66759 + ... + 68665.

Almost surely, 2129126784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134528310).

129126784 is an abundant number, since it is smaller than the sum of its proper divisors (139929836).

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

129126784 is an equidigital number, since it uses as much as digits as its factorization.

129126784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1967 (or 1932 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 129126784 is about 11363.3966752904. The cubic root of 129126784 is about 505.4429130642.

The spelling of 129126784 in words is "one hundred twenty-nine million, one hundred twenty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 529 736 1058 1472 1907 2116 2944 3814 4232 7628 8464 15256 16928 30512 33856 43861 61024 67712 87722 122048 175444 244096 350888 701776 1008803 1403552 2017606 2807104 4035212 5614208 8070424 16140848 32281696 64563392 129126784