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126654034 = 21331237137
BaseRepresentation
bin1111000110010…
…01011001010010
322211022200200011
413203021121102
5224410412114
620322345134
73065353513
oct743113122
9284280604
10126654034
1165547061
12364bb1aa
1320316820
1412b6ca0a
15b1bc1c4
hex78c9652

126654034 has 48 divisors (see below), whose sum is σ = 218706264. Its totient is φ = 54639360.

The previous prime is 126654001. The next prime is 126654037. The reversal of 126654034 is 430456621.

It can be written as a sum of positive squares in 4 ways, for example, as 114383025 + 12271009 = 10695^2 + 3503^2 .

It is a super-3 number, since 3×1266540343 (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 126653987 and 126654005.

It is not an unprimeable number, because it can be changed into a prime (126654037) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 924414 + ... + 924550.

Almost surely, 2126654034 is an apocalyptic number.

126654034 is a deficient number, since it is larger than the sum of its proper divisors (92052230).

126654034 is a wasteful number, since it uses less digits than its factorization.

126654034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 126654034 is about 11254.0674424850. The cubic root of 126654034 is about 502.1957221604.

The spelling of 126654034 in words is "one hundred twenty-six million, six hundred fifty-four thousand, thirty-four".

Divisors: 1 2 13 26 31 37 62 74 137 274 403 481 806 961 962 1147 1781 1922 2294 3562 4247 5069 8494 10138 12493 14911 24986 29822 35557 55211 65897 71114 110422 131657 131794 157139 263314 314278 462241 924482 1711541 2042807 3423082 4085614 4871309 9742618 63327017 126654034