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126261316 = 22377011217
BaseRepresentation
bin1111000011010…
…01100001000100
322210120201222001
413201221201010
5224310330231
620310115044
73062126536
oct741514104
9283521861
10126261316
11652a8aa5
123634ba84
1320209b4c
1412aa9856
15b140b61
hex7869844

126261316 has 24 divisors (see below), whose sum is σ = 227439576. Its totient is φ = 61286400.

The previous prime is 126261307. The next prime is 126261323. The reversal of 126261316 is 613162621.

It can be written as a sum of positive squares in 4 ways, for example, as 57304900 + 68956416 = 7570^2 + 8304^2 .

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 7 ways as a sum of consecutive naturals, for example, 103140 + ... + 104356.

It is an arithmetic number, because the mean of its divisors is an integer number (9476649).

Almost surely, 2126261316 is an apocalyptic number.

It is an amenable number.

126261316 is a deficient number, since it is larger than the sum of its proper divisors (101178260).

126261316 is a wasteful number, since it uses less digits than its factorization.

126261316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1957 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 126261316 is about 11236.6060712299. The cubic root of 126261316 is about 501.6761295674.

The spelling of 126261316 in words is "one hundred twenty-six million, two hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 4 37 74 148 701 1217 1402 2434 2804 4868 25937 45029 51874 90058 103748 180116 853117 1706234 3412468 31565329 63130658 126261316