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104252000 = 255367389
BaseRepresentation
bin1100011011011…
…00001001100000
321021011112212012
412031230021200
5203142031000
614202252052
72404061456
oct615541140
9237145765
10104252000
1153936086
122aab7028
13187a1c98
14dbba9d6
159244735
hex636c260

104252000 has 96 divisors (see below), whose sum is σ = 260638560. Its totient is φ = 40972800.

The previous prime is 104251967. The next prime is 104252003. The reversal of 104252000 is 252401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104252003) 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, 267806 + ... + 268194.

It is an arithmetic number, because the mean of its divisors is an integer number (2714985).

Almost surely, 2104252000 is an apocalyptic number.

104252000 is a gapful number since it is divisible by the number (10) 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 104252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130319280).

104252000 is an abundant number, since it is smaller than the sum of its proper divisors (156386560).

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

104252000 is an equidigital number, since it uses as much as digits as its factorization.

104252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 104252000 is about 10210.3868682827. The cubic root of 104252000 is about 470.6464621579.

The spelling of 104252000 in words is "one hundred four million, two hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 67 80 100 125 134 160 200 250 268 335 389 400 500 536 670 778 800 1000 1072 1340 1556 1675 1945 2000 2144 2680 3112 3350 3890 4000 5360 6224 6700 7780 8375 9725 10720 12448 13400 15560 16750 19450 26063 26800 31120 33500 38900 48625 52126 53600 62240 67000 77800 97250 104252 130315 134000 155600 194500 208504 260630 268000 311200 389000 417008 521260 651575 778000 834016 1042520 1303150 1556000 2085040 2606300 3257875 4170080 5212600 6515750 10425200 13031500 20850400 26063000 52126000 104252000