Search a number
-
+
104799232 = 210531931
BaseRepresentation
bin1100011111100…
…01110000000000
321022012100112001
412033301300000
5203312033412
614222113344
72411531056
oct617616000
9238170461
10104799232
115417a23a
122b11b854
13189340a5
14dcc01d6
159301957
hex63f1c00

104799232 has 44 divisors (see below), whose sum is σ = 213559416. Its totient is φ = 51384320.

The previous prime is 104799229. The next prime is 104799287. The reversal of 104799232 is 232997401.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 104799191 and 104799200.

It is a congruent number.

It is an unprimeable number.

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, 53307 + ... + 55237.

Almost surely, 2104799232 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 104799232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106779708).

104799232 is an abundant number, since it is smaller than the sum of its proper divisors (108760184).

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

104799232 is an equidigital number, since it uses as much as digits as its factorization.

104799232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 104799232 is about 10237.1496032831. The cubic root of 104799232 is about 471.4685198383.

The spelling of 104799232 in words is "one hundred four million, seven hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 1931 3392 3862 6784 7724 13568 15448 27136 30896 54272 61792 102343 123584 204686 247168 409372 494336 818744 988672 1637488 1977344 3274976 6549952 13099904 26199808 52399616 104799232