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103438192 = 24111353853
BaseRepresentation
bin1100010101001…
…01011101110000
321012122012112011
412022211131300
5202440010232
614133012304
72364132034
oct612453560
9235565464
10103438192
115342a710
122a784094
1318578740
14da481c4
159133547
hex62a5770

103438192 has 80 divisors (see below), whose sum is σ = 240172128. Its totient is φ = 42531840.

The previous prime is 103438189. The next prime is 103438201. The reversal of 103438192 is 291834301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 120838 + ... + 121690.

Almost surely, 2103438192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103438192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120086064).

103438192 is an abundant number, since it is smaller than the sum of its proper divisors (136733936).

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

103438192 is a wasteful number, since it uses less digits than its factorization.

103438192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 103438192 is about 10170.4568235650. The cubic root of 103438192 is about 469.4186141589.

The spelling of 103438192 in words is "one hundred three million, four hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 88 104 106 143 176 208 212 286 424 572 583 689 848 853 1144 1166 1378 1706 2288 2332 2756 3412 4664 5512 6824 7579 9328 9383 11024 11089 13648 15158 18766 22178 30316 37532 44356 45209 60632 75064 88712 90418 121264 121979 150128 177424 180836 243958 361672 487916 497299 587717 723344 975832 994598 1175434 1951664 1989196 2350868 3978392 4701736 6464887 7956784 9403472 12929774 25859548 51719096 103438192