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104870800 = 24522311399
BaseRepresentation
bin1100100000000…
…11001110010000
321022022222200201
412100003032100
5203321331200
614223424544
72412246526
oct620031620
9238288621
10104870800
1154218a91
122b155154
131895a838
14dcdc316
159317c6a
hex6403390

104870800 has 60 divisors (see below), whose sum is σ = 262929600. Its totient is φ = 40120960.

The previous prime is 104870791. The next prime is 104870803. The reversal of 104870800 is 8078401.

It is not an unprimeable number, because it can be changed into a prime (104870803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3501 + ... + 14899.

It is an arithmetic number, because the mean of its divisors is an integer number (4382160).

Almost surely, 2104870800 is an apocalyptic number.

104870800 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 104870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131464800).

104870800 is an abundant number, since it is smaller than the sum of its proper divisors (158058800).

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

104870800 is a wasteful number, since it uses less digits than its factorization.

104870800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11440 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 104870800 is about 10240.6445109671. The cubic root of 104870800 is about 471.5758182743.

The spelling of 104870800 in words is "one hundred four million, eight hundred seventy thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 368 400 460 575 920 1150 1840 2300 4600 9200 11399 22798 45596 56995 91192 113990 182384 227980 262177 284975 455960 524354 569950 911920 1048708 1139900 1310885 2097416 2279800 2621770 4194832 4559600 5243540 6554425 10487080 13108850 20974160 26217700 52435400 104870800