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126788260 = 22511356101
BaseRepresentation
bin1111000111010…
…10001010100100
322211120111210111
413203222022210
5224424211020
620325302404
73066453034
oct743521244
9284514714
10126788260
1165628995
1236564a04
1320362951
1412ba58c4
15b1e6d5a
hex78ea2a4

126788260 has 24 divisors (see below), whose sum is σ = 268616376. Its totient is φ = 50265600.

The previous prime is 126788251. The next prime is 126788267. The reversal of 126788260 is 62887621.

It can be written as a sum of positive squares in 4 ways, for example, as 630436 + 126157824 = 794^2 + 11232^2 .

It is not an unprimeable number, because it can be changed into a prime (126788267) 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 7 ways as a sum of consecutive naturals, for example, 25791 + ... + 30310.

It is an arithmetic number, because the mean of its divisors is an integer number (11192349).

Almost surely, 2126788260 is an apocalyptic number.

126788260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126788260 is an abundant number, since it is smaller than the sum of its proper divisors (141828116).

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

126788260 is a wasteful number, since it uses less digits than its factorization.

126788260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56223 (or 56221 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 126788260 is about 11260.0293072443. The cubic root of 126788260 is about 502.3730659641.

The spelling of 126788260 in words is "one hundred twenty-six million, seven hundred eighty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 56101 112202 224404 280505 561010 1122020 6339413 12678826 25357652 31697065 63394130 126788260