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104254976 = 297191531
BaseRepresentation
bin1100011011011…
…00111000000000
321021011200221102
412031230320000
5203142124401
614202313532
72404103240
oct615547000
9237150842
10104254976
1153938341
122aab88a8
13187a3447
14dbbbb20
15924556b
hex636ce00

104254976 has 80 divisors (see below), whose sum is σ = 250757760. Its totient is φ = 42301440.

The previous prime is 104254973. The next prime is 104254981. The reversal of 104254976 is 679452401.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104254973) 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 7 ways as a sum of consecutive naturals, for example, 67331 + ... + 68861.

It is an arithmetic number, because the mean of its divisors is an integer number (3134472).

Almost surely, 2104254976 is an apocalyptic number.

104254976 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 104254976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125378880).

104254976 is an abundant number, since it is smaller than the sum of its proper divisors (146502784).

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

104254976 is an equidigital number, since it uses as much as digits as its factorization.

104254976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 104254976 is about 10210.5326011918. The cubic root of 104254976 is about 470.6509405070.

The spelling of 104254976 in words is "one hundred four million, two hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 512 532 608 896 1064 1216 1531 1792 2128 2432 3062 3584 4256 4864 6124 8512 9728 10717 12248 17024 21434 24496 29089 34048 42868 48992 58178 68096 85736 97984 116356 171472 195968 203623 232712 342944 391936 407246 465424 685888 783872 814492 930848 1371776 1628984 1861696 2743552 3257968 3723392 5487104 6515936 7446784 13031872 14893568 26063744 52127488 104254976