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138753765 = 3253083417
BaseRepresentation
bin10000100010100…
…11011011100101
3100200002102101100
420101103123211
5241010110030
621433550313
73303246633
oct1021233345
9320072340
10138753765
1171360837
123a575399
1322992027
14145dc353
15c2ac360
hex84536e5

138753765 has 12 divisors (see below), whose sum is σ = 240506604. Its totient is φ = 74001984.

The previous prime is 138753761. The next prime is 138753773. The reversal of 138753765 is 567357831.

It can be written as a sum of positive squares in 2 ways, for example, as 21399876 + 117353889 = 4626^2 + 10833^2 .

It is not a de Polignac number, because 138753765 - 22 = 138753761 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3083417 = 138753765 / (1 + 3 + 8 + 7 + 5 + 3 + 7 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 138753765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138753761) 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 11 ways as a sum of consecutive naturals, for example, 1541664 + ... + 1541753.

It is an arithmetic number, because the mean of its divisors is an integer number (20042217).

Almost surely, 2138753765 is an apocalyptic number.

138753765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138753765 is a deficient number, since it is larger than the sum of its proper divisors (101752839).

138753765 is a wasteful number, since it uses less digits than its factorization.

138753765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083428 (or 3083425 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 138753765 is about 11779.3788036551. The cubic root of 138753765 is about 517.7040852963.

The spelling of 138753765 in words is "one hundred thirty-eight million, seven hundred fifty-three thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 45 3083417 9250251 15417085 27750753 46251255 138753765