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93668240 = 2451170853
BaseRepresentation
bin1011001010101…
…00001110010000
320112020211200002
411211110032100
5142434340430
613143345132
72215111151
oct545241620
9215224602
1093668240
1148967376
12274521a8
13165377c3
14c623928
158353845
hex5954390

93668240 has 20 divisors (see below), whose sum is σ = 217778844. Its totient is φ = 37467264.

The previous prime is 93668219. The next prime is 93668243. The reversal of 93668240 is 4286639.

It can be written as a sum of positive squares in 2 ways, for example, as 35664784 + 58003456 = 5972^2 + 7616^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 93668194 and 93668203.

It is not an unprimeable number, because it can be changed into a prime (93668243) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 585347 + ... + 585506.

Almost surely, 293668240 is an apocalyptic number.

It is an amenable number.

93668240 is an abundant number, since it is smaller than the sum of its proper divisors (124110604).

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

93668240 is a wasteful number, since it uses less digits than its factorization.

93668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170866 (or 1170860 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 93668240 is about 9678.2353763483. The cubic root of 93668240 is about 454.1480495506.

The spelling of 93668240 in words is "ninety-three million, six hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1170853 2341706 4683412 5854265 9366824 11708530 18733648 23417060 46834120 93668240