Search a number
-
+
138776625 = 3353133163
BaseRepresentation
bin10000100010110…
…01000000110001
3100200010120202000
420101121000301
5241011323000
621434244213
73303403401
oct1021310061
9320116660
10138776625
1171376a29
123a586669
132299c560
1414606801
15c2b4000
hex8459031

138776625 has 64 divisors (see below), whose sum is σ = 276407040. Its totient is φ = 68299200.

The previous prime is 138776623. The next prime is 138776657. The reversal of 138776625 is 526677831.

138776625 is a `hidden beast` number, since 13 + 8 + 7 + 7 + 6 + 625 = 666.

It is not a de Polignac number, because 138776625 - 21 = 138776623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (138776623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42294 + ... + 45456.

It is an arithmetic number, because the mean of its divisors is an integer number (4318860).

Almost surely, 2138776625 is an apocalyptic number.

138776625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138776625 is a deficient number, since it is larger than the sum of its proper divisors (137630415).

138776625 is a wasteful number, since it uses less digits than its factorization.

138776625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 3184 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 138776625 is about 11780.3491034859. The cubic root of 138776625 is about 517.7325147123.

It can be divided in two parts, 13877 and 6625, that added together give a palindrome (20502).

The spelling of 138776625 in words is "one hundred thirty-eight million, seven hundred seventy-six thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 125 135 195 225 325 351 375 585 675 975 1125 1625 1755 2925 3163 3375 4875 8775 9489 14625 15815 28467 41119 43875 47445 79075 85401 123357 142335 205595 237225 370071 395375 427005 616785 711675 1027975 1110213 1186125 1850355 2135025 3083925 3558375 5139875 5551065 9251775 10675125 15419625 27755325 46258875 138776625