Search a number
-
+
138340872 = 23377907
BaseRepresentation
bin10000011111011…
…10101000001000
3100122022110000000
420033232220020
5240403401442
621421043000
73266610105
oct1017565010
9318273000
10138340872
11710a95aa
123a3b6460
1322879107
1414531aac
15c229d4c
hex83eea08

138340872 has 64 divisors (see below), whose sum is σ = 389073600. Its totient is φ = 46107792.

The previous prime is 138340801. The next prime is 138340889. The reversal of 138340872 is 278043831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13543 + ... + 21449.

It is an arithmetic number, because the mean of its divisors is an integer number (6079275).

Almost surely, 2138340872 is an apocalyptic number.

138340872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138340872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194536800).

138340872 is an abundant number, since it is smaller than the sum of its proper divisors (250732728).

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

138340872 is an frugal number, since it uses more digits than its factorization.

138340872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7934 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138340872 is about 11761.8396520272. The cubic root of 138340872 is about 517.1900601553.

The spelling of 138340872 in words is "one hundred thirty-eight million, three hundred forty thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 7907 8748 15814 17496 23721 31628 47442 63256 71163 94884 142326 189768 213489 284652 426978 569304 640467 853956 1280934 1707912 1921401 2561868 3842802 5123736 5764203 7685604 11528406 15371208 17292609 23056812 34585218 46113624 69170436 138340872