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138284993 = 71123113691
BaseRepresentation
bin10000011111000…
…00111111000001
3100122012121100102
420033200333001
5240400104433
621415532145
73266255150
oct1017407701
9318177312
10138284993
1171070620
123a38a055
1322859852
1414519597
15c2184e8
hex83e0fc1

138284993 has 32 divisors (see below), whose sum is σ = 181757952. Its totient is φ = 102009600.

The previous prime is 138284989. The next prime is 138284999. The reversal of 138284993 is 399482831.

It is a happy number.

It is not a de Polignac number, because 138284993 - 22 = 138284989 is a prime.

It is a Duffinian number.

138284993 is a modest number, since divided by 84993 gives 1382 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138284999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199778 + ... + 200468.

It is an arithmetic number, because the mean of its divisors is an integer number (5679936).

Almost surely, 2138284993 is an apocalyptic number.

It is an amenable number.

138284993 is a deficient number, since it is larger than the sum of its proper divisors (43472959).

138284993 is a wasteful number, since it uses less digits than its factorization.

138284993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845.

The product of its digits is 373248, while the sum is 47.

The square root of 138284993 is about 11759.4639758792. The cubic root of 138284993 is about 517.1204158655.

The spelling of 138284993 in words is "one hundred thirty-eight million, two hundred eighty-four thousand, nine hundred ninety-three".

Divisors: 1 7 11 23 77 113 161 253 691 791 1243 1771 2599 4837 7601 8701 15893 18193 28589 53207 78083 111251 174823 200123 546581 858913 1223761 1795909 6012391 12571363 19754999 138284993