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10204740 = 22325721389
BaseRepresentation
bin100110111011…
…011001000100
3201012110021100
4212323121010
510103022430
61002420100
7152511300
oct46733104
921173240
1010204740
11583aa77
123501630
132163b10
1414d8d00
15d68960
hex9bb644

10204740 has 216 divisors, whose sum is σ = 39213720. Its totient is φ = 2128896.

The previous prime is 10204721. The next prime is 10204741. The reversal of 10204740 is 4740201.

It is a happy number.

10204740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 10188864 = 126^2 + 3192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10204741) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114616 + ... + 114704.

It is an arithmetic number, because the mean of its divisors is an integer number (181545).

Almost surely, 210204740 is an apocalyptic number.

10204740 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 10204740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19606860).

10204740 is an abundant number, since it is smaller than the sum of its proper divisors (29008980).

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

10204740 is a wasteful number, since it uses less digits than its factorization.

10204740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10204740 is about 3194.4858741275. The cubic root of 10204740 is about 216.9038769556.

Adding to 10204740 its reverse (4740201), we get a palindrome (14944941).

The spelling of 10204740 in words is "ten million, two hundred four thousand, seven hundred forty".