Search a number
-
+
108057800 = 23524091321
BaseRepresentation
bin1100111000011…
…01010011001000
321112022220102202
412130031103020
5210130322200
614420015332
72451322214
oct634152310
9245286382
10108057800
1155aa5474
1230231548
1319505336
14104cb944
1597471d5
hex670d4c8

108057800 has 48 divisors (see below), whose sum is σ = 252039300. Its totient is φ = 43084800.

The previous prime is 108057793. The next prime is 108057821. The reversal of 108057800 is 8750801.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 89378116 + 18679684 = 9454^2 + 4322^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81140 + ... + 82460.

Almost surely, 2108057800 is an apocalyptic number.

108057800 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 108057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126019650).

108057800 is an abundant number, since it is smaller than the sum of its proper divisors (143981500).

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

108057800 is a wasteful number, since it uses less digits than its factorization.

108057800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 108057800 is about 10395.0853772348. The cubic root of 108057800 is about 476.3052557919.

The spelling of 108057800 in words is "one hundred eight million, fifty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1321 1636 2045 2642 3272 4090 5284 6605 8180 10225 10568 13210 16360 20450 26420 33025 40900 52840 66050 81800 132100 264200 540289 1080578 2161156 2701445 4322312 5402890 10805780 13507225 21611560 27014450 54028900 108057800