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138473307 = 357127641
BaseRepresentation
bin10000100000011…
…10111101011011
3100122120011200000
420100032331123
5240422121212
621423544043
73301001160
oct1020167533
9318504600
10138473307
117118a055
123a45b023
13228c448b
1414568067
15c2541dc
hex840ef5b

138473307 has 48 divisors (see below), whose sum is σ = 239296512. Its totient is φ = 78382080.

The previous prime is 138473297. The next prime is 138473341. The reversal of 138473307 is 703374831.

138473307 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138473307 - 26 = 138473243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138473107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215707 + ... + 216347.

It is an arithmetic number, because the mean of its divisors is an integer number (4985344).

Almost surely, 2138473307 is an apocalyptic number.

138473307 is a deficient number, since it is larger than the sum of its proper divisors (100823205).

138473307 is an equidigital number, since it uses as much as digits as its factorization.

138473307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 138473307 is about 11767.4681643929. The cubic root of 138473307 is about 517.3550444668.

It can be divided in two parts, 1384 and 73307, that added together give a triangular number (74691 = T386).

The spelling of 138473307 in words is "one hundred thirty-eight million, four hundred seventy-three thousand, three hundred seven".

Divisors: 1 3 7 9 21 27 63 81 127 189 243 381 567 641 889 1143 1701 1923 2667 3429 4487 5769 8001 10287 13461 17307 24003 30861 40383 51921 72009 81407 121149 155763 216027 244221 363447 569849 732663 1090341 1709547 2197989 5128641 6593967 15385923 19781901 46157769 138473307