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104685696 = 273423439
BaseRepresentation
bin1100011110101…
…10000010000000
321021222120210000
412033112002000
5203244420241
614215440000
72410546053
oct617260200
9237876700
10104685696
1154101a05
122b086000
13188c44cb
14dc90a9a
1592cceb6
hex63d6080

104685696 has 160 divisors (see below), whose sum is σ = 325828800. Its totient is φ = 33302016.

The previous prime is 104685683. The next prime is 104685727. The reversal of 104685696 is 696586401.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 238245 + ... + 238683.

It is an arithmetic number, because the mean of its divisors is an integer number (2036430).

Almost surely, 2104685696 is an apocalyptic number.

104685696 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 104685696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914400).

104685696 is an abundant number, since it is smaller than the sum of its proper divisors (221143104).

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

104685696 is an equidigital number, since it uses as much as digits as its factorization.

104685696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 104685696 is about 10231.6028069897. The cubic root of 104685696 is about 471.2982005498.

The spelling of 104685696 in words is "one hundred four million, six hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 184 192 207 216 276 288 324 368 384 414 432 439 552 576 621 648 736 828 864 878 1104 1152 1242 1296 1317 1472 1656 1728 1756 1863 2208 2484 2592 2634 2944 3312 3456 3512 3726 3951 4416 4968 5184 5268 6624 7024 7452 7902 8832 9936 10097 10368 10536 11853 13248 14048 14904 15804 19872 20194 21072 23706 26496 28096 29808 30291 31608 35559 39744 40388 42144 47412 56192 59616 60582 63216 71118 79488 80776 84288 90873 94824 119232 121164 126432 142236 161552 168576 181746 189648 238464 242328 252864 272619 284472 323104 363492 379296 484656 505728 545238 568944 646208 726984 758592 817857 969312 1090476 1137888 1292416 1453968 1517184 1635714 1938624 2180952 2275776 2907936 3271428 3877248 4361904 4551552 5815872 6542856 8723808 11631744 13085712 17447616 26171424 34895232 52342848 104685696