Search a number
-
+
138643110 = 23351074799
BaseRepresentation
bin10000100001110…
…00011010100110
3100122212210121000
420100320122212
5240443034420
621431334130
73302306214
oct1020703246
9318783530
10138643110
1171295691
123a521346
1322953858
14145adcb4
15c289690
hex84386a6

138643110 has 64 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 36618336.

The previous prime is 138643093. The next prime is 138643111. The reversal of 138643110 is 11346831.

138643110 is a `hidden beast` number, since 1 + 3 + 8 + 643 + 1 + 10 = 666.

138643110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138643111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26491 + ... + 31289.

It is an arithmetic number, because the mean of its divisors is an integer number (5832000).

Almost surely, 2138643110 is an apocalyptic number.

138643110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138643110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

138643110 is an abundant number, since it is smaller than the sum of its proper divisors (234604890).

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

138643110 is a wasteful number, since it uses less digits than its factorization.

138643110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4916 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 138643110 is about 11774.6808873956. The cubic root of 138643110 is about 517.5664270957.

Adding to 138643110 its reverse (11346831), we get a palindrome (149989941).

The spelling of 138643110 in words is "one hundred thirty-eight million, six hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 535 642 963 1070 1605 1926 2889 3210 4799 4815 5778 9598 9630 14397 14445 23995 28794 28890 43191 47990 71985 86382 129573 143970 215955 259146 431910 513493 647865 1026986 1295730 1540479 2567465 3080958 4621437 5134930 7702395 9242874 13864311 15404790 23107185 27728622 46214370 69321555 138643110