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138408039 = 32711297197
BaseRepresentation
bin10000011111111…
…11000001100111
3100122102212010200
420033333001213
5240413024124
621422321543
73300306660
oct1017770147
9318385120
10138408039
1171145010
123a4292b3
13228a0863
141454c367
15c23ebc9
hex83ff067

138408039 has 96 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 67737600.

The previous prime is 138407993. The next prime is 138408047. The reversal of 138408039 is 930804831.

It is not a de Polignac number, because 138408039 - 211 = 138405991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138407994 and 138408012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138408139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1426839 + ... + 1426935.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2138408039 is an apocalyptic number.

138408039 is a deficient number, since it is larger than the sum of its proper divisors (125768601).

138408039 is a wasteful number, since it uses less digits than its factorization.

138408039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138408039 is about 11764.6945986711. The cubic root of 138408039 is about 517.2737483279.

The spelling of 138408039 in words is "one hundred thirty-eight million, four hundred eight thousand, thirty-nine".

Divisors: 1 3 7 9 11 21 29 33 63 71 77 87 97 99 203 213 231 261 291 319 497 609 639 679 693 781 873 957 1067 1491 1827 2037 2059 2233 2343 2813 2871 3201 4473 5467 6111 6177 6699 6887 7029 7469 8439 9603 14413 16401 18531 19691 20097 20661 22407 22649 25317 30943 43239 48209 49203 59073 61983 67221 67947 75757 92829 129717 144627 158543 177219 199723 203841 216601 227271 278487 433881 475629 530299 599169 649803 681813 1398061 1426887 1590897 1797507 1949409 2196953 4194183 4772691 6590859 12582549 15378671 19772577 46136013 138408039