Search a number
-
+
104016800 = 2552130021
BaseRepresentation
bin1100011001100…
…10101110100000
321020201121020002
412030302232200
5203112014200
614153235132
72402061656
oct614625640
9236647202
10104016800
11537953a8
122aa02aa8
131871bc04
14db58dd6
1591e9bd5
hex6332ba0

104016800 has 36 divisors (see below), whose sum is σ = 253932966. Its totient is φ = 41606400.

The previous prime is 104016797. The next prime is 104016817. The reversal of 104016800 is 8610401.

It can be written as a sum of positive squares in 3 ways, for example, as 43612816 + 60403984 = 6604^2 + 7772^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 64211 + ... + 65810.

Almost surely, 2104016800 is an apocalyptic number.

104016800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104016800 is an abundant number, since it is smaller than the sum of its proper divisors (149916166).

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

104016800 is a wasteful number, since it uses less digits than its factorization.

104016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130041 (or 130028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 104016800 is about 10198.8626816915. The cubic root of 104016800 is about 470.2922582466.

The spelling of 104016800 in words is "one hundred four million, sixteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 130021 260042 520084 650105 1040168 1300210 2080336 2600420 3250525 4160672 5200840 6501050 10401680 13002100 20803360 26004200 52008400 104016800