Search a number
-
+
138406775 = 52132174147
BaseRepresentation
bin10000011111111…
…10101101110111
3100122102210101212
420033332231313
5240413004100
621422312035
73300303203
oct1017765567
9318383355
10138406775
1171144071
123a42861b
13228a0100
141454bb03
15c23e635
hex83feb77

138406775 has 72 divisors (see below), whose sum is σ = 205861824. Its totient is φ = 91852800.

The previous prime is 138406757. The next prime is 138406789. The reversal of 138406775 is 577604831.

It is not a de Polignac number, because 138406775 - 28 = 138406519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2944802 + ... + 2944848.

It is an arithmetic number, because the mean of its divisors is an integer number (2859192).

Almost surely, 2138406775 is an apocalyptic number.

138406775 is a deficient number, since it is larger than the sum of its proper divisors (67455049).

138406775 is a wasteful number, since it uses less digits than its factorization.

138406775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 138406775 is about 11764.6408784969. The cubic root of 138406775 is about 517.2721736698.

The spelling of 138406775 in words is "one hundred thirty-eight million, four hundred six thousand, seven hundred seventy-five".

Divisors: 1 5 13 17 25 41 47 65 85 169 205 221 235 325 425 533 611 697 799 845 1025 1105 1175 1927 2665 2873 3055 3485 3995 4225 5525 6929 7943 9061 9635 10387 13325 14365 15275 17425 19975 25051 32759 34645 39715 45305 48175 51935 71825 117793 125255 135031 163795 173225 198575 226525 259675 325663 425867 588965 626275 675155 818975 1628315 2129335 2944825 3375775 5536271 8141575 10646675 27681355 138406775