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126072126 = 234778223
BaseRepresentation
bin1111000001110…
…11010100111110
322210020010110000
413200323110332
5224233302001
620302055130
73060411135
oct740732476
9283203400
10126072126
1165189944
123627a4a6
13201719bb
1412a5a91c
15b104a86
hex783b53e

126072126 has 20 divisors (see below), whose sum is σ = 282495312. Its totient is φ = 42023988.

The previous prime is 126072113. The next prime is 126072127. The reversal of 126072126 is 621270621.

126072126 is a `hidden beast` number, since 12 + 607 + 21 + 26 = 666.

It is a super-3 number, since 3×1260721263 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 126072126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126072127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 388950 + ... + 389273.

Almost surely, 2126072126 is an apocalyptic number.

126072126 is an abundant number, since it is smaller than the sum of its proper divisors (156423186).

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

126072126 is an equidigital number, since it uses as much as digits as its factorization.

126072126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778237 (or 778228 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 126072126 is about 11228.1844480753. The cubic root of 126072126 is about 501.4254337489.

The spelling of 126072126 in words is "one hundred twenty-six million, seventy-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 778223 1556446 2334669 4669338 7004007 14008014 21012021 42024042 63036063 126072126