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104111424 = 2632180749
BaseRepresentation
bin1100011010010…
…01110101000000
321020220102000200
412031021311000
5203123031144
614155245200
72402634564
oct615116500
9236812020
10104111424
115384a4aa
122aa49800
1318752cc1
14db816a4
159217c69
hex6349d40

104111424 has 42 divisors (see below), whose sum is σ = 298418250. Its totient is φ = 34703616.

The previous prime is 104111419. The next prime is 104111461. The reversal of 104111424 is 424111401.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 27373824 = 8760^2 + 5232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104111397 and 104111406.

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 5 ways as a sum of consecutive naturals, for example, 89799 + ... + 90950.

Almost surely, 2104111424 is an apocalyptic number.

It is an amenable number.

104111424 is an abundant number, since it is smaller than the sum of its proper divisors (194306826).

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

104111424 is a wasteful number, since it uses less digits than its factorization.

104111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180767 (or 180754 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 104111424 is about 10203.5005757828. The cubic root of 104111424 is about 470.4348231891.

Adding to 104111424 its reverse (424111401), we get a palindrome (528222825).

The spelling of 104111424 in words is "one hundred four million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 180749 361498 542247 722996 1084494 1445992 1626741 2168988 2891984 3253482 4337976 5783968 6506964 8675952 11567936 13013928 17351904 26027856 34703808 52055712 104111424