Search a number
-
+
104003600 = 2452260009
BaseRepresentation
bin1100011001011…
…11100000010000
321020200221010012
412030233200100
5203111103400
614153054052
72402005331
oct614574020
9236627105
10104003600
1153786498
122a9b7328
1318715bbc
14db54288
1591e5d35
hex632f810

104003600 has 30 divisors (see below), whose sum is σ = 249869610. Its totient is φ = 41601280.

The previous prime is 104003591. The next prime is 104003629. The reversal of 104003600 is 6300401.

It can be written as a sum of positive squares in 3 ways, for example, as 126736 + 103876864 = 356^2 + 10192^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 129605 + ... + 130404.

It is an arithmetic number, because the mean of its divisors is an integer number (8328987).

Almost surely, 2104003600 is an apocalyptic number.

104003600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104003600 is an abundant number, since it is smaller than the sum of its proper divisors (145866010).

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

104003600 is a wasteful number, since it uses less digits than its factorization.

104003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260027 (or 260016 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 104003600 is about 10198.2155301798. The cubic root of 104003600 is about 470.2723636385.

The spelling of 104003600 in words is "one hundred four million, three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 260009 520018 1040036 1300045 2080072 2600090 4160144 5200180 6500225 10400360 13000450 20800720 26000900 52001800 104003600