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108304000 = 27537967
BaseRepresentation
bin1100111010010…
…01011010000000
321112210102011021
412131021122000
5210211212000
614425155224
72453366050
oct635113200
9245712137
10108304000
1156153442
123032bb14
131959040c
1410553560
15979511a
hex6749680

108304000 has 128 divisors (see below), whose sum is σ = 308056320. Its totient is φ = 37094400.

The previous prime is 108303989. The next prime is 108304003. The reversal of 108304000 is 403801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (108304003) 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, 111517 + ... + 112483.

It is an arithmetic number, because the mean of its divisors is an integer number (2406690).

Almost surely, 2108304000 is an apocalyptic number.

108304000 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 108304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154028160).

108304000 is an abundant number, since it is smaller than the sum of its proper divisors (199752320).

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

108304000 is an frugal number, since it uses more digits than its factorization.

108304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 108304000 is about 10406.9207741772. The cubic root of 108304000 is about 476.6667210024. Note that the first 3 decimals are identical.

Adding to 108304000 its reverse (403801), we get a palindrome (108707801).

The spelling of 108304000 in words is "one hundred eight million, three hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 967 1000 1120 1400 1600 1750 1934 2000 2240 2800 3200 3500 3868 4000 4480 4835 5600 6769 7000 7736 8000 9670 11200 13538 14000 15472 16000 19340 22400 24175 27076 28000 30944 33845 38680 48350 54152 56000 61888 67690 77360 96700 108304 112000 120875 123776 135380 154720 169225 193400 216608 241750 270760 309440 338450 386800 433216 483500 541520 618880 676900 773600 846125 866432 967000 1083040 1353800 1547200 1692250 1934000 2166080 2707600 3094400 3384500 3868000 4332160 5415200 6769000 7736000 10830400 13538000 15472000 21660800 27076000 54152000 108304000