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107193384 = 23321488797
BaseRepresentation
bin1100110001110…
…10010000101000
321110200222200100
412120322100220
5204420142014
614345305400
72441062104
oct630722050
9243628610
10107193384
1155564a81
122ba95260
1319291a4c
1410344904
159626009
hex663a428

107193384 has 24 divisors (see below), whose sum is σ = 290315610. Its totient is φ = 35731104.

The previous prime is 107193379. The next prime is 107193389. The reversal of 107193384 is 483391701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107193379) and next prime (107193389).

It can be written as a sum of positive squares in only one way, i.e., 77053284 + 30140100 = 8778^2 + 5490^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1071933842 = 22980843146742912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107193389) 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 5 ways as a sum of consecutive naturals, for example, 744327 + ... + 744470.

Almost surely, 2107193384 is an apocalyptic number.

It is an amenable number.

107193384 is an abundant number, since it is smaller than the sum of its proper divisors (183122226).

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

107193384 is a wasteful number, since it uses less digits than its factorization.

107193384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488809 (or 1488802 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107193384 is about 10353.4237815324. The cubic root of 107193384 is about 475.0317747904.

The spelling of 107193384 in words is "one hundred seven million, one hundred ninety-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1488797 2977594 4466391 5955188 8932782 11910376 13399173 17865564 26798346 35731128 53596692 107193384