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104621216 = 2573591301
BaseRepresentation
bin1100011110001…
…10010010100000
321021212022022212
412033012102200
5203240334331
614214221252
72410160060
oct617062240
9237768285
10104621216
1154068517
122b054828
13188a105b
14dc753a0
1592b8d2b
hex63c64a0

104621216 has 48 divisors (see below), whose sum is σ = 236234880. Its totient is φ = 44678400.

The previous prime is 104621197. The next prime is 104621221. The reversal of 104621216 is 612126401.

It is a junction number, because it is equal to n+sod(n) for n = 104621191 and 104621200.

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 7 ways as a sum of consecutive naturals, for example, 79766 + ... + 81066.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2104621216 is an apocalyptic number.

104621216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104621216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118117440).

104621216 is an abundant number, since it is smaller than the sum of its proper divisors (131613664).

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

104621216 is a wasteful number, since it uses less digits than its factorization.

104621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 104621216 is about 10228.4513001725. The cubic root of 104621216 is about 471.2014170330.

Adding to 104621216 its reverse (612126401), we get a palindrome (716747617).

The spelling of 104621216 in words is "one hundred four million, six hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 359 718 1301 1436 2513 2602 2872 5026 5204 5744 9107 10052 10408 11488 18214 20104 20816 36428 40208 41632 72856 80416 145712 291424 467059 934118 1868236 3269413 3736472 6538826 7472944 13077652 14945888 26155304 52310608 104621216