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104670976 = 282329613
BaseRepresentation
bin1100011110100…
…10011100000000
321021221211120211
412033102130000
5203243432401
614215243504
72410455124
oct617223400
9237854524
10104670976
11540a1943
122b079594
13188ba8b7
14dc89584
1592c8951
hex63d2700

104670976 has 72 divisors (see below), whose sum is σ = 225902880. Its totient is φ = 48254976.

The previous prime is 104670967. The next prime is 104670997. The reversal of 104670976 is 679076401.

It is a congruent number.

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, 170446 + ... + 171058.

It is an arithmetic number, because the mean of its divisors is an integer number (3137540).

Almost surely, 2104670976 is an apocalyptic number.

104670976 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 104670976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112951440).

104670976 is an abundant number, since it is smaller than the sum of its proper divisors (121231904).

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

104670976 is an equidigital number, since it uses as much as digits as its factorization.

104670976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 104670976 is about 10230.8834418148. The cubic root of 104670976 is about 471.2761095511.

The spelling of 104670976 in words is "one hundred four million, six hundred seventy thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 368 464 613 667 736 928 1226 1334 1472 1856 2452 2668 2944 3712 4904 5336 5888 7424 9808 10672 14099 17777 19616 21344 28198 35554 39232 42688 56396 71108 78464 85376 112792 142216 156928 170752 225584 284432 408871 451168 568864 817742 902336 1137728 1635484 1804672 2275456 3270968 3609344 4550912 6541936 13083872 26167744 52335488 104670976