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104322816 = 28361343
BaseRepresentation
bin1100011011111…
…01011100000000
321021022011000000
412031331130000
5203201312231
614204000000
72404505103
oct615753400
9237264000
10104322816
1153984304
122ab30000
13187c82a0
14dbd873a
15925a6e6
hex637d700

104322816 has 252 divisors, whose sum is σ = 344050168. Its totient is φ = 31352832.

The previous prime is 104322809. The next prime is 104322817. The reversal of 104322816 is 618223401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 104322816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104322817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2426091 + ... + 2426133.

Almost surely, 2104322816 is an apocalyptic number.

104322816 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 104322816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172025084).

104322816 is an abundant number, since it is smaller than the sum of its proper divisors (239727352).

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

104322816 is an frugal number, since it uses more digits than its factorization.

104322816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 104322816 is about 10213.8541207519. The cubic root of 104322816 is about 470.7530044980.

The spelling of 104322816 in words is "one hundred four million, three hundred twenty-two thousand, eight hundred sixteen".