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106665040 = 2451333313
BaseRepresentation
bin1100101101110…
…01010001010000
321102201010221001
412112321101100
5204301240130
614330111344
72433431536
oct626712120
9242633831
10106665040
1155234029
122b87b554
1319138411
1410248156
15956e6ca
hex65b9450

106665040 has 20 divisors (see below), whose sum is σ = 247996404. Its totient is φ = 42665984.

The previous prime is 106665019. The next prime is 106665073. The reversal of 106665040 is 40566601.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 81504784 = 5016^2 + 9028^2 .

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

It is a super-2 number, since 2×1066650402 = 22754861516403200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666577 + ... + 666736.

Almost surely, 2106665040 is an apocalyptic number.

106665040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106665040 is an abundant number, since it is smaller than the sum of its proper divisors (141331364).

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

106665040 is a wasteful number, since it uses less digits than its factorization.

106665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333326 (or 1333320 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 106665040 is about 10327.8768389248. The cubic root of 106665040 is about 474.2500298032.

The spelling of 106665040 in words is "one hundred six million, six hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1333313 2666626 5333252 6666565 10666504 13333130 21333008 26666260 53332520 106665040