Search a number
-
+
104630624 = 257467101
BaseRepresentation
bin1100011110010…
…00100101100000
321021212210020022
412033020211200
5203241134444
614214333012
72410226360
oct617104540
9237783208
10104630624
115407459a
122b05a168
13188a5417
14dc789a0
1592bb9ee
hex63c8960

104630624 has 24 divisors (see below), whose sum is σ = 235419408. Its totient is φ = 44841600.

The previous prime is 104630623. The next prime is 104630629. The reversal of 104630624 is 426036401.

It is a junction number, because it is equal to n+sod(n) for n = 104630593 and 104630602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104630623) 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, 233327 + ... + 233774.

It is an arithmetic number, because the mean of its divisors is an integer number (9809142).

Almost surely, 2104630624 is an apocalyptic number.

104630624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104630624 is an abundant number, since it is smaller than the sum of its proper divisors (130788784).

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

104630624 is an equidigital number, since it uses as much as digits as its factorization.

104630624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467118 (or 467110 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 104630624 is about 10228.9111835034. The cubic root of 104630624 is about 471.2155407778.

The spelling of 104630624 in words is "one hundred four million, six hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 467101 934202 1868404 3269707 3736808 6539414 7473616 13078828 14947232 26157656 52315312 104630624