Search a number
-
+
138051420 = 223513176989
BaseRepresentation
bin10000011101001…
…11111101011100
3100121202201221120
420032213331130
5240320121140
621410530540
73264263163
oct1016477534
9317681846
10138051420
1170a21091
123a296a50
13227a7440
14144983da
15c1be1d0
hex83a7f5c

138051420 has 48 divisors (see below), whose sum is σ = 416280480. Its totient is φ = 33981696.

The previous prime is 138051409. The next prime is 138051421. The reversal of 138051420 is 24150831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138051421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87715 + ... + 89274.

It is an arithmetic number, because the mean of its divisors is an integer number (8672510).

Almost surely, 2138051420 is an apocalyptic number.

138051420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138051420 is an abundant number, since it is smaller than the sum of its proper divisors (278229060).

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

138051420 is a wasteful number, since it uses less digits than its factorization.

138051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177014 (or 177012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 138051420 is about 11749.5285011782. The cubic root of 138051420 is about 516.8291009678.

It can be divided in two parts, 13805 and 1420, that added together give a triangular number (15225 = T174).

The spelling of 138051420 in words is "one hundred thirty-eight million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 176989 353978 530967 707956 884945 1061934 1769890 2123868 2300857 2654835 3539780 4601714 5309670 6902571 9203428 10619340 11504285 13805142 23008570 27610284 34512855 46017140 69025710 138051420