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104481696 = 25311163607
BaseRepresentation
bin1100011101001…
…00001110100000
321021121012221110
412032210032200
5203221403241
614211223320
72406036234
oct616441640
9237535843
10104481696
1153a82710
122aba7b40
13188526b7
14dc3a5c4
15928c816
hex63a43a0

104481696 has 96 divisors (see below), whose sum is σ = 301529088. Its totient is φ = 31415040.

The previous prime is 104481667. The next prime is 104481697. The reversal of 104481696 is 696184401.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104481697) 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 15 ways as a sum of consecutive naturals, for example, 171825 + ... + 172431.

It is an arithmetic number, because the mean of its divisors is an integer number (3140928).

Almost surely, 2104481696 is an apocalyptic number.

104481696 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 104481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150764544).

104481696 is an abundant number, since it is smaller than the sum of its proper divisors (197047392).

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

104481696 is a wasteful number, since it uses less digits than its factorization.

104481696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 104481696 is about 10221.6288330187. The cubic root of 104481696 is about 470.9918634013.

The spelling of 104481696 in words is "one hundred four million, four hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 163 176 264 326 352 489 528 607 652 978 1056 1214 1304 1793 1821 1956 2428 2608 3586 3642 3912 4856 5216 5379 6677 7172 7284 7824 9712 10758 13354 14344 14568 15648 19424 20031 21516 26708 28688 29136 40062 43032 53416 57376 58272 80124 86064 98941 106832 160248 172128 197882 213664 296823 320496 395764 593646 640992 791528 1088351 1187292 1583056 2176702 2374584 3166112 3265053 4353404 4749168 6530106 8706808 9498336 13060212 17413616 26120424 34827232 52240848 104481696