Search a number
-
+
138949785 = 32513232449
BaseRepresentation
bin10000100100000…
…11010010011001
3100200110101021100
420102003102121
5241032343120
621442102013
73305024262
oct1022032231
9320411240
10138949785
1171485037
123a64a909
1322a30310
141464d969
15c2ea490
hex8483499

138949785 has 72 divisors (see below), whose sum is σ = 271744200. Its totient is φ = 65286144.

The previous prime is 138949753. The next prime is 138949807. The reversal of 138949785 is 587949831.

It can be written as a sum of positive squares in 4 ways, for example, as 4575321 + 134374464 = 2139^2 + 11592^2 .

It is not a de Polignac number, because 138949785 - 25 = 138949753 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309241 + ... + 309689.

It is an arithmetic number, because the mean of its divisors is an integer number (3774225).

Almost surely, 2138949785 is an apocalyptic number.

138949785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138949785 is a deficient number, since it is larger than the sum of its proper divisors (132794415).

138949785 is a wasteful number, since it uses less digits than its factorization.

138949785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 138949785 is about 11787.6963398282. The cubic root of 138949785 is about 517.9477606170.

The spelling of 138949785 in words is "one hundred thirty-eight million, nine hundred forty-nine thousand, seven hundred eighty-five".

Divisors: 1 3 5 9 13 15 23 39 45 65 69 115 117 195 207 299 345 449 529 585 897 1035 1347 1495 1587 2245 2645 2691 4041 4485 4761 5837 6735 6877 7935 10327 13455 17511 20205 20631 23805 29185 30981 34385 51635 52533 61893 87555 92943 103155 134251 154905 237521 262665 309465 402753 464715 671255 712563 1187605 1208259 2013765 2137689 3087773 3562815 6041295 9263319 10688445 15438865 27789957 46316595 138949785