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126789440 = 265396217
BaseRepresentation
bin1111000111010…
…10011101000000
322211120120102012
413203222131000
5224424230230
620325312052
73066456341
oct743523500
9284516365
10126789440
1165629868
1236565628
132036334b
1412ba60c8
15b1e7395
hex78ea740

126789440 has 28 divisors (see below), whose sum is σ = 301918116. Its totient is φ = 50715648.

The previous prime is 126789433. The next prime is 126789461. The reversal of 126789440 is 44987621.

It can be written as a sum of positive squares in 2 ways, for example, as 97456384 + 29333056 = 9872^2 + 5416^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 197789 + ... + 198428.

Almost surely, 2126789440 is an apocalyptic number.

126789440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126789440 is an abundant number, since it is smaller than the sum of its proper divisors (175128676).

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

126789440 is an equidigital number, since it uses as much as digits as its factorization.

126789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396234 (or 396224 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 126789440 is about 11260.0817048545. The cubic root of 126789440 is about 502.3746244638.

The spelling of 126789440 in words is "one hundred twenty-six million, seven hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 396217 792434 1584868 1981085 3169736 3962170 6339472 7924340 12678944 15848680 25357888 31697360 63394720 126789440