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104378976 = 2533139293
BaseRepresentation
bin1100011100010…
…11001001100000
321021102000001000
412032023021200
5203210111401
614205112000
72405130612
oct616131140
9237360030
10104378976
1153a12519
122ab58600
1318817a10
14dc10db2
15926c186
hex638b260

104378976 has 96 divisors (see below), whose sum is σ = 327892320. Its totient is φ = 32113152.

The previous prime is 104378971. The next prime is 104378993. The reversal of 104378976 is 679873401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104378971) 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, 6586 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (3415545).

Almost surely, 2104378976 is an apocalyptic number.

104378976 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 104378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163946160).

104378976 is an abundant number, since it is smaller than the sum of its proper divisors (223513344).

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

104378976 is a wasteful number, since it uses less digits than its factorization.

104378976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9325 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 104378976 is about 10216.6029579308. The cubic root of 104378976 is about 470.8374626799.

The spelling of 104378976 in words is "one hundred four million, three hundred seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 9293 11232 18586 27879 37172 55758 74344 83637 111516 120809 148688 167274 223032 241618 250911 297376 334548 362427 446064 483236 501822 669096 724854 892128 966472 1003644 1087281 1338192 1449708 1932944 2007288 2174562 2676384 2899416 3261843 3865888 4014576 4349124 5798832 6523686 8029152 8698248 11597664 13047372 17396496 26094744 34792992 52189488 104378976