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106476461 = 731323879
BaseRepresentation
bin1100101100010…
…11001110101101
321102100120020122
412112023032231
5204224221321
614322054325
72432015000
oct626131655
9242316218
10106476461
1155115383
122b7aa3a5
13190a0630
14101d9537
1595338ab
hex658b3ad

106476461 has 16 divisors (see below), whose sum is σ = 133728000. Its totient is φ = 84241584.

The previous prime is 106476427. The next prime is 106476463. The reversal of 106476461 is 164674601.

It is a de Polignac number, because none of the positive numbers 2k-106476461 is a prime.

It is a super-4 number, since 4×1064764614 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106476463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7481 + ... + 16398.

It is an arithmetic number, because the mean of its divisors is an integer number (8358000).

Almost surely, 2106476461 is an apocalyptic number.

It is an amenable number.

106476461 is a deficient number, since it is larger than the sum of its proper divisors (27251539).

106476461 is an equidigital number, since it uses as much as digits as its factorization.

106476461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23913 (or 23899 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 106476461 is about 10318.7431889741. The cubic root of 106476461 is about 473.9703806852.

The spelling of 106476461 in words is "one hundred six million, four hundred seventy-six thousand, four hundred sixty-one".

Divisors: 1 7 13 49 91 343 637 4459 23879 167153 310427 1170071 2172989 8190497 15210923 106476461