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104320000 = 21054163
BaseRepresentation
bin1100011011111…
…00110000000000
321021022000010201
412031330300000
5203201220000
614203534544
72404463641
oct615746000
9237260121
10104320000
1153982184
122ab2a454
13187c6c15
14dbd76c8
15925996a
hex637cc00

104320000 has 110 divisors (see below), whose sum is σ = 262187948. Its totient is φ = 41472000.

The previous prime is 104319997. The next prime is 104320001. The reversal of 104320000 is 23401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (104320001) 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 9 ways as a sum of consecutive naturals, for example, 639919 + ... + 640081.

Almost surely, 2104320000 is an apocalyptic number.

104320000 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 104320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131093974).

104320000 is an abundant number, since it is smaller than the sum of its proper divisors (157867948).

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

104320000 is an frugal number, since it uses more digits than its factorization.

104320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 104320000 is about 10213.7162678430. The cubic root of 104320000 is about 470.7487687598.

Adding to 104320000 its reverse (23401), we get a palindrome (104343401).

The spelling of 104320000 in words is "one hundred four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 163 200 250 256 320 326 400 500 512 625 640 652 800 815 1000 1024 1250 1280 1304 1600 1630 2000 2500 2560 2608 3200 3260 4000 4075 5000 5120 5216 6400 6520 8000 8150 10000 10432 12800 13040 16000 16300 20000 20375 20864 25600 26080 32000 32600 40000 40750 41728 52160 64000 65200 80000 81500 83456 101875 104320 128000 130400 160000 163000 166912 203750 208640 260800 320000 326000 407500 417280 521600 640000 652000 815000 834560 1043200 1304000 1630000 2086400 2608000 3260000 4172800 5216000 6520000 10432000 13040000 20864000 26080000 52160000 104320000