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126426132 = 22327501691
BaseRepresentation
bin1111000100100…
…01110000010100
322210220010001100
413202101300110
5224331114012
620313430100
73063414210
oct742216024
9283803040
10126426132
1165400908
123640b330
1320266b81
1412b0d940
15b1748dc
hex7891c14

126426132 has 36 divisors (see below), whose sum is σ = 365231776. Its totient is φ = 36121680.

The previous prime is 126426103. The next prime is 126426163. The reversal of 126426132 is 231624621.

126426132 is a `hidden beast` number, since 1 + 2 + 6 + 42 + 613 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 126426096 and 126426105.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 250594 + ... + 251097.

Almost surely, 2126426132 is an apocalyptic number.

126426132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

126426132 is an abundant number, since it is smaller than the sum of its proper divisors (238805644).

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

126426132 is a wasteful number, since it uses less digits than its factorization.

126426132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501708 (or 501703 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 126426132 is about 11243.9375665289. The cubic root of 126426132 is about 501.8943233478.

The spelling of 126426132 in words is "one hundred twenty-six million, four hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 501691 1003382 1505073 2006764 3010146 3511837 4515219 6020292 7023674 9030438 10535511 14047348 18060876 21071022 31606533 42142044 63213066 126426132