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138408340 = 22572141233
BaseRepresentation
bin10000011111111…
…11000110010100
3100122102212112211
420033333012110
5240413031330
621422323204
73300310600
oct1017770624
9318385484
10138408340
1171145264
123a429504
13228a0a35
141454c500
15c23ed2a
hex83ff194

138408340 has 36 divisors (see below), whose sum is σ = 338114196. Its totient is φ = 47453952.

The previous prime is 138408337. The next prime is 138408343. The reversal of 138408340 is 43804831.

It is an interprime number because it is at equal distance from previous prime (138408337) and next prime (138408343).

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 104162436 = 5852^2 + 10206^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138408343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69637 + ... + 71596.

It is an arithmetic number, because the mean of its divisors is an integer number (9392061).

Almost surely, 2138408340 is an apocalyptic number.

138408340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138408340 is an abundant number, since it is smaller than the sum of its proper divisors (199705856).

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

138408340 is a wasteful number, since it uses less digits than its factorization.

138408340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141256 (or 141247 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 138408340 is about 11764.7073911764. The cubic root of 138408340 is about 517.2741233044.

The spelling of 138408340 in words is "one hundred thirty-eight million, four hundred eight thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 141233 282466 564932 706165 988631 1412330 1977262 2824660 3954524 4943155 6920417 9886310 13840834 19772620 27681668 34602085 69204170 138408340