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126263430 = 232513910093
BaseRepresentation
bin1111000011010…
…10000010000110
322210120211212100
413201222002012
5224310412210
620310132530
73062135646
oct741520206
9283524770
10126263430
11652aa647
1236351146
132020aab7
1412aaa526
15b1415c0
hex786a086

126263430 has 48 divisors (see below), whose sum is σ = 330679440. Its totient is φ = 33424704.

The previous prime is 126263413. The next prime is 126263441. The reversal of 126263430 is 34362621.

126263430 is a `hidden beast` number, since 1 + 2 + 626 + 3 + 4 + 30 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 126263394 and 126263403.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 7464 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (6889155).

Almost surely, 2126263430 is an apocalyptic number.

126263430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126263430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165339720).

126263430 is an abundant number, since it is smaller than the sum of its proper divisors (204416010).

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

126263430 is a wasteful number, since it uses less digits than its factorization.

126263430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10245 (or 10242 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 126263430 is about 11236.7001383858. The cubic root of 126263430 is about 501.6789294153.

The spelling of 126263430 in words is "one hundred twenty-six million, two hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 10093 12510 20186 30279 50465 60558 90837 100930 151395 181674 302790 454185 908370 1402927 2805854 4208781 7014635 8417562 12626343 14029270 21043905 25252686 42087810 63131715 126263430