Search a number
-
+
138473118 = 2337259887
BaseRepresentation
bin10000100000011…
…10111010011110
3100122120011102000
420100032322132
5240422114433
621423543130
73301000500
oct1020167236
9318504360
10138473118
11711899a3
123a45aaa6
13228c4374
1414567d70
15c254113
hex840ee9e

138473118 has 96 divisors (see below), whose sum is σ = 364435200. Its totient is φ = 38849328.

The previous prime is 138473117. The next prime is 138473119. The reversal of 138473118 is 811374831.

It is an interprime number because it is at equal distance from previous prime (138473117) and next prime (138473119).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138473117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155671 + ... + 156557.

It is an arithmetic number, because the mean of its divisors is an integer number (3796200).

Almost surely, 2138473118 is an apocalyptic number.

138473118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138473118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182217600).

138473118 is an abundant number, since it is smaller than the sum of its proper divisors (225962082).

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

138473118 is a wasteful number, since it uses less digits than its factorization.

138473118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 138473118 is about 11767.4601337757. The cubic root of 138473118 is about 517.3548090902.

The spelling of 138473118 in words is "one hundred thirty-eight million, four hundred seventy-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 59 63 98 118 126 147 177 189 294 354 378 413 441 531 826 882 887 1062 1239 1323 1593 1774 2478 2646 2661 2891 3186 3717 5322 5782 6209 7434 7983 8673 11151 12418 15966 17346 18627 22302 23949 26019 37254 43463 47898 52038 52333 55881 78057 86926 104666 111762 130389 156114 156999 167643 260778 313998 335286 366331 391167 470997 732662 782334 941994 1098993 1173501 1412991 2197986 2347002 2564317 2825982 3296979 5128634 6593958 7692951 9890937 15385902 19781874 23078853 46157706 69236559 138473118