Search a number
-
+
10300300 = 2252177383
BaseRepresentation
bin100111010010…
…101110001100
3201101022100121
4213102232030
510114102200
61004434324
7153360013
oct47225614
921338317
1010300300
1158a584a
1235489a4
13219846a
141521a7a
15d86e1a
hex9d2b8c

10300300 has 72 divisors (see below), whose sum is σ = 24279696. Its totient is φ = 3778560.

The previous prime is 10300291. The next prime is 10300321. The reversal of 10300300 is 300301.

It is a happy number.

10300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124059 + ... + 124141.

It is an arithmetic number, because the mean of its divisors is an integer number (337218).

Almost surely, 210300300 is an apocalyptic number.

10300300 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 10300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139848).

10300300 is an abundant number, since it is smaller than the sum of its proper divisors (13979396).

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

10300300 is a wasteful number, since it uses less digits than its factorization.

10300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 10300300 is about 3209.4080451074. The cubic root of 10300300 is about 217.5788237665.

Adding to 10300300 its reverse (300301), we get a palindrome (10600601).

Subtracting from 10300300 its reverse (300301), we obtain a palindrome (9999999).

The spelling of 10300300 in words is "ten million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 73 83 85 100 146 166 170 292 332 340 365 415 425 730 830 850 1241 1411 1460 1660 1700 1825 2075 2482 2822 3650 4150 4964 5644 6059 6205 7055 7300 8300 12118 12410 14110 24236 24820 28220 30295 31025 35275 60590 62050 70550 103003 121180 124100 141100 151475 206006 302950 412012 515015 605900 1030030 2060060 2575075 5150150 10300300