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630417105 = 32514009269
BaseRepresentation
bin100101100100110…
…110011011010001
31121221020111200200
4211210312123101
52242341321410
6142320005413
721423312513
oct4544663321
91557214620
10630417105
112a394377a
12157160869
13a07b8696
145da23bb3
153a52a3c0
hex259366d1

630417105 has 12 divisors (see below), whose sum is σ = 1092723060. Its totient is φ = 336222432.

The previous prime is 630417101. The next prime is 630417113. The reversal of 630417105 is 501714036.

630417105 is a `hidden beast` number, since 630 + 4 + 17 + 10 + 5 = 666.

630417105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 474891264 + 155525841 = 21792^2 + 12471^2 .

It is not a de Polignac number, because 630417105 - 22 = 630417101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (630417101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7004590 + ... + 7004679.

It is an arithmetic number, because the mean of its divisors is an integer number (91060255).

Almost surely, 2630417105 is an apocalyptic number.

It is an amenable number.

630417105 is a deficient number, since it is larger than the sum of its proper divisors (462305955).

630417105 is a wasteful number, since it uses less digits than its factorization.

630417105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14009280 (or 14009277 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 630417105 is about 25108.1083516859. The cubic root of 630417105 is about 857.4510360287.

It can be divided in two parts, 6304 and 17105, that added together give a square (23409 = 1532).

The spelling of 630417105 in words is "six hundred thirty million, four hundred seventeen thousand, one hundred five".

Divisors: 1 3 5 9 15 45 14009269 42027807 70046345 126083421 210139035 630417105