Search a number
-
+
126343040 = 2751131747
BaseRepresentation
bin1111000011111…
…01011110000000
322210201220001212
413201331132000
5224320434130
620311545252
73062620025
oct741753600
9283656055
10126343040
116535443a
123638b228
13202380c5
1412acb54c
15b159e95
hex787d780

126343040 has 64 divisors (see below), whose sum is σ = 304886160. Its totient is φ = 50061312.

The previous prime is 126343001. The next prime is 126343051. The reversal of 126343040 is 40343621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 126342997 and 126343015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71447 + ... + 73193.

Almost surely, 2126343040 is an apocalyptic number.

126343040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152443080).

126343040 is an abundant number, since it is smaller than the sum of its proper divisors (178543120).

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

126343040 is a wasteful number, since it uses less digits than its factorization.

126343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 126343040 is about 11240.2419902776. The cubic root of 126343040 is about 501.7843446534.

Adding to 126343040 its reverse (40343621), we get a palindrome (166686661).

The spelling of 126343040 in words is "one hundred twenty-six million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 320 452 565 640 904 1130 1747 1808 2260 3494 3616 4520 6988 7232 8735 9040 13976 14464 17470 18080 27952 34940 36160 55904 69880 72320 111808 139760 197411 223616 279520 394822 559040 789644 987055 1118080 1579288 1974110 3158576 3948220 6317152 7896440 12634304 15792880 25268608 31585760 63171520 126343040