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126630009 = 32114312
BaseRepresentation
bin1111000110000…
…11100001111001
322211021110201100
413203003201321
5224404130014
620322042013
73065223462
oct743034171
9284243640
10126630009
1165530000
12364a9309
13203088cc
1412b63d69
15b1b5009
hex78c3879

126630009 has 45 divisors (see below), whose sum is σ = 207899445. Its totient is φ = 74269800.

The previous prime is 126629983. The next prime is 126630011. The reversal of 126630009 is 900036621.

It is a happy number.

The square root of 126630009 is 11253.

It is a perfect power (a square), and thus also a powerful number.

126630009 is a `hidden beast` number, since 1 + 26 + 630 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 126630009 - 217 = 126498937 is a prime.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (126630089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4084824 + ... + 4084854.

Almost surely, 2126630009 is an apocalyptic number.

126630009 is the 11253-rd square number.

126630009 is the 5627-th centered octagonal number.

It is an amenable number.

126630009 is a deficient number, since it is larger than the sum of its proper divisors (81269436).

126630009 is an frugal number, since it uses more digits than its factorization.

126630009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 126630009 is about 502.1639663218.

The spelling of 126630009 in words is "one hundred twenty-six million, six hundred thirty thousand, nine".

Divisors: 1 3 9 11 31 33 93 99 121 279 341 363 961 1023 1089 1331 2883 3069 3751 3993 8649 10571 11253 11979 14641 31713 33759 41261 43923 95139 116281 123783 131769 348843 371349 453871 1046529 1279091 1361613 3837273 4084839 11511819 14070001 42210003 126630009