Search a number
-
+
104002100 = 22521040021
BaseRepresentation
bin1100011001011…
…11001000110100
321020200212001122
412030233020310
5203111031400
614153043112
72402001056
oct614571064
9236625048
10104002100
1153785354
122a9b6498
1318715307
14db538d6
1591e5685
hex632f234

104002100 has 18 divisors (see below), whose sum is σ = 225684774. Its totient is φ = 41600800.

The previous prime is 104002099. The next prime is 104002109. The reversal of 104002100 is 1200401.

It can be written as a sum of positive squares in 3 ways, for example, as 1628176 + 102373924 = 1276^2 + 10118^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104002109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 519911 + ... + 520110.

It is an arithmetic number, because the mean of its divisors is an integer number (12538043).

Almost surely, 2104002100 is an apocalyptic number.

104002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104002100 is an abundant number, since it is smaller than the sum of its proper divisors (121682674).

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

104002100 is a wasteful number, since it uses less digits than its factorization.

104002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040035 (or 1040028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 104002100 is about 10198.1419876368. The cubic root of 104002100 is about 470.2701027811.

Adding to 104002100 its reverse (1200401), we get a palindrome (105202501).

The spelling of 104002100 in words is "one hundred four million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1040021 2080042 4160084 5200105 10400210 20800420 26000525 52001050 104002100