Search a number
-
+
10015900 = 2252372707
BaseRepresentation
bin100110001101…
…010010011100
3200211212020021
4212031102130
510031002100
6554401524
7151063606
oct46152234
920755207
1010015900
115721104
1234302a4
1320c8b8b
14148a176
15d2ca1a
hex98d49c

10015900 has 36 divisors (see below), whose sum is σ = 22330168. Its totient is φ = 3896640.

The previous prime is 10015891. The next prime is 10015903. The reversal of 10015900 is 951001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015903) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2347 + ... + 5053.

Almost surely, 210015900 is an apocalyptic number.

10015900 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 10015900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165084).

10015900 is an abundant number, since it is smaller than the sum of its proper divisors (12314268).

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

10015900 is a wasteful number, since it uses less digits than its factorization.

10015900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 16.

The square root of 10015900 is about 3164.7906723826. The cubic root of 10015900 is about 215.5575935771.

Adding to 10015900 its reverse (951001), we get a palindrome (10966901).

The spelling of 10015900 in words is "ten million, fifteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 2707 3700 5414 10828 13535 27070 54140 67675 100159 135350 200318 270700 400636 500795 1001590 2003180 2503975 5007950 10015900