Search a number
-
+
126669132 = 223225713691
BaseRepresentation
bin1111000110011…
…01000101001100
322211100110101100
413203031011030
5224411403012
620322543100
73065445522
oct743150514
9284313340
10126669132
1165557437
1236507a90
1320320665
1412b74312
15b1c18dc
hex78cd14c

126669132 has 36 divisors (see below), whose sum is σ = 321460776. Its totient is φ = 42055680.

The previous prime is 126669077. The next prime is 126669133. The reversal of 126669132 is 231966621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (126669133) 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 11 ways as a sum of consecutive naturals, for example, 2407 + ... + 16097.

It is an arithmetic number, because the mean of its divisors is an integer number (8929466).

Almost surely, 2126669132 is an apocalyptic number.

126669132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126669132 is an abundant number, since it is smaller than the sum of its proper divisors (194791644).

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

126669132 is a wasteful number, since it uses less digits than its factorization.

126669132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13958 (or 13953 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 126669132 is about 11254.7382021973. The cubic root of 126669132 is about 502.2156763866.

The spelling of 126669132 in words is "one hundred twenty-six million, six hundred sixty-nine thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1542 2313 3084 4626 9252 13691 27382 41073 54764 82146 123219 164292 246438 492876 3518587 7037174 10555761 14074348 21111522 31667283 42223044 63334566 126669132