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104254016 = 26432881
BaseRepresentation
bin1100011011011…
…00101001000000
321021011122121212
412031230221000
5203142112031
614202305252
72404100366
oct615545100
9237148555
10104254016
1153937649
122aab8228
13187a2b89
14dbbb636
15924512b
hex636ca40

104254016 has 42 divisors (see below), whose sum is σ = 212042502. Its totient is φ = 50856960.

The previous prime is 104253997. The next prime is 104254019. The reversal of 104254016 is 610452401.

It can be written as a sum of positive squares in only one way, i.e., 73960000 + 30294016 = 8600^2 + 5504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 104253982 and 104254000.

It is not an unprimeable number, because it can be changed into a prime (104254019) 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 5 ways as a sum of consecutive naturals, for example, 117896 + ... + 118776.

It is an arithmetic number, because the mean of its divisors is an integer number (5048631).

Almost surely, 2104254016 is an apocalyptic number.

104254016 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 104254016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106021251).

104254016 is an abundant number, since it is smaller than the sum of its proper divisors (107788486).

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

104254016 is an frugal number, since it uses more digits than its factorization.

104254016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 104254016 is about 10210.4855908032. The cubic root of 104254016 is about 470.6494958876.

It can be divided in two parts, 10425 and 4016, that added together give a palindrome (14441).

The spelling of 104254016 in words is "one hundred four million, two hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 881 1376 1762 1849 2752 3524 3698 7048 7396 14096 14792 28192 29584 37883 56384 59168 75766 118336 151532 303064 606128 1212256 1628969 2424512 3257938 6515876 13031752 26063504 52127008 104254016