Search a number
-
+
103993792 = 267232129
BaseRepresentation
bin1100011001011…
…01000111000000
321020200102122221
412030231013000
5203110300132
614152540424
72401634620
oct614550700
9236612587
10103993792
115377a091
122a9b1714
13187115b6
14db50880
1591e2e97
hex632d1c0

103993792 has 28 divisors (see below), whose sum is σ = 235844080. Its totient is φ = 44568576.

The previous prime is 103993789. The next prime is 103993793. The reversal of 103993792 is 297399301.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-3 number, since 3×1039937923 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103993793) 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 3 ways as a sum of consecutive naturals, for example, 115617 + ... + 116512.

Almost surely, 2103993792 is an apocalyptic number.

It is an amenable number.

103993792 is an abundant number, since it is smaller than the sum of its proper divisors (131850288).

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

103993792 is an equidigital number, since it uses as much as digits as its factorization.

103993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232148 (or 232138 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 43.

The square root of 103993792 is about 10197.7346504015. The cubic root of 103993792 is about 470.2575802517.

The spelling of 103993792 in words is "one hundred three million, nine hundred ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 232129 464258 928516 1624903 1857032 3249806 3714064 6499612 7428128 12999224 14856256 25998448 51996896 103993792