Search a number
-
+
126402066 = 23372233167
BaseRepresentation
bin1111000100010…
…11111000010010
322210211220001000
413202023320102
5224324331231
620313122430
73063254100
oct742137022
9283756030
10126402066
116539481a
12363b9416
1320258c2b
1412b04c70
15b16c6e6
hex788be12

126402066 has 192 divisors, whose sum is σ = 357212160. Its totient is φ = 32931360.

The previous prime is 126402061. The next prime is 126402071. The reversal of 126402066 is 660204621.

It is a happy number.

126402066 is a `hidden beast` number, since 12 + 640 + 2 + 0 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (126402061) and next prime (126402071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126402061) 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 95 ways as a sum of consecutive naturals, for example, 1886565 + ... + 1886631.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 2126402066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126402066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

126402066 is an abundant number, since it is smaller than the sum of its proper divisors (230810094).

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

126402066 is a wasteful number, since it uses less digits than its factorization.

126402066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 126402066 is about 11242.8673388954. The cubic root of 126402066 is about 501.8624750923.

Adding to 126402066 its reverse (660204621), we get a palindrome (786606687).

It can be divided in two parts, 12640 and 2066, that added together give a triangular number (14706 = T171).

The spelling of 126402066 in words is "one hundred twenty-six million, four hundred two thousand, sixty-six".