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126166120 = 2353154153
BaseRepresentation
bin1111000010100…
…10010001101000
322210101220101021
413201102101220
5224244303440
620304102224
73061252153
oct741222150
9283356337
10126166120
1165243523
1236304974
13201a5712
1412a82c9a
15b12284a
hex7852468

126166120 has 16 divisors (see below), whose sum is σ = 283873860. Its totient is φ = 50466432.

The previous prime is 126166067. The next prime is 126166123. The reversal of 126166120 is 21661621.

It can be written as a sum of positive squares in 2 ways, for example, as 105390756 + 20775364 = 10266^2 + 4558^2 .

It is not an unprimeable number, because it can be changed into a prime (126166123) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1577037 + ... + 1577116.

Almost surely, 2126166120 is an apocalyptic number.

126166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126166120 is an abundant number, since it is smaller than the sum of its proper divisors (157707740).

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

126166120 is a wasteful number, since it uses less digits than its factorization.

126166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154164 (or 3154160 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 126166120 is about 11232.3692959233. The cubic root of 126166120 is about 501.5500165984.

The spelling of 126166120 in words is "one hundred twenty-six million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3154153 6308306 12616612 15770765 25233224 31541530 63083060 126166120